×
Compute Distance To:
Author ID: gao.yitian Recent zbMATH articles by "Gao, Yitian"
Published as: Gao, Yi-Tian; Gao, Yitian; Gao, Yi Tian
Documents Indexed: 163 Publications since 1994
Co-Authors: 71 Co-Authors with 144 Joint Publications
1,814 Co-Co-Authors
all top 5

Serials

15 Nonlinear Dynamics
14 Applied Mathematics and Computation
13 Physics Letters. A
11 Chaos, Solitons and Fractals
11 Communications in Theoretical Physics
10 Acta Mechanica
10 Applied Mathematics Letters
9 Communications in Nonlinear Science and Numerical Simulation
8 Computers & Mathematics with Applications
7 Physica Scripta
5 International Journal of Modern Physics B
5 Journal of Optimization Theory and Applications
5 Waves in Random and Complex Media
3 Computer Physics Communications
3 International Journal of Theoretical Physics
3 Journal of Mathematical Analysis and Applications
3 Annals of Physics
3 International Journal of Modern Physics C
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Physics A: Mathematical and General
1 Modern Physics Letters A
1 Modern Physics Letters B
1 Applicable Analysis
1 Journal of Mathematical Physics
1 Journal of Sound and Vibration
1 Theoretical and Mathematical Physics
1 Wave Motion
1 Mathematics and Computers in Simulation
1 Mechanics Research Communications
1 Computational Mechanics
1 Applied Mathematical Modelling
1 International Journal of Computational Fluid Dynamics
1 Abstract and Applied Analysis
1 Journal of Modern Optics
1 Czechoslovak Journal of Physics
1 Journal of Nonlinear Mathematical Physics
1 Journal of Applied Algebra and Discrete Structures
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Journal of Physics A: Mathematical and Theoretical
1 Mathematical Sciences

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 1,012 times in 476 Documents Cited by Year
Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation. Zbl 1160.37401
Tian, Bo; Wei, Guang-Mei; Zhang, Chun-Yi; Shan, Wen-Rui; Gao, Yi-Tian
49
2006
Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation. Zbl 1203.81067
Tian, Bo; Gao, Yi-Tian; Zhu, Hong-Wu
44
2007
Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028
Tian, Bo; Gao, Yi-Tian
43
2007
Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043
Tian, Bo; Gao, Yi-Tian
39
2005
Reply to: “Comment on: ‘Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]. Zbl 1325.35192
Gao, Yi-Tian; Tian, Bo
38
2007
Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451
Tian, Bo; Gao, Yi-Tian
38
2005
Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics. Zbl 0976.65092
Gao, Yitian; Tian, Bo
34
2001
On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation. Zbl 1145.35452
Tian, Bo; Gao, Yi-Tian
30
2005
\(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation. Zbl 1191.35242
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
27
2010
Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water. Zbl 1423.35321
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Sun, Zhi-Yuan
23
2009
Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Zbl 1283.35116
Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin
21
2014
Beyond travelling waves: A new algorithm for solving nonlinear evolution equations. Zbl 0923.65068
Tian, Bo; Gao, Yi-Tian
20
1996
Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows. Zbl 1448.76087
Su, Jing-Jing; Gao, Yi-Tian; Ding, Cui-Cui
20
2019
Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1356.35212
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
19
2012
Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying
19
2009
Demyanov difference of two sets and optimality conditions of Lagrange multiplier type for constrained quasidifferential optimization. Zbl 1050.90568
Gao, Y.
18
2000
Generalized tanh method with symbolic computation and generalized shallow water wave equation. Zbl 0873.76061
Gao, Yitian; Tian, Bo
17
1997
Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. Zbl 1373.37163
Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu
15
2017
Truncated Painlevé expansion and a wide-ranging type of generalized variable-coefficient Kadomtsev-Petviashvili equations. Zbl 1020.35527
Tian, Bo; Gao, Yi-Tian
14
1995
Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu
12
2019
New family of overturning soliton solutions for a typical breaking soliton equation. Zbl 0836.35140
Gao, Yi-Tian; Tian, Bo
12
1995
Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas. Zbl 1260.37043
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Shen, Yu-Jia; Qin, Yi
11
2012
Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. Zbl 1356.35205
Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin
11
2011
Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics. Zbl 1148.82308
Zhang, Chun-Yi; Gao, Yi-Tian; Meng, Xiang-Hua; Li, Juan; Xu, Tao; Wei, Guang-Mei; Zhu, Hong-Wu
11
2006
Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation. Zbl 1189.35296
Wei, Guang-Mei; Gao, Yi-Tian; Hu, Wei; Zhang, Chun-Yi
11
2006
Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Zbl 1302.35351
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
10
2013
Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1379.35293
Huang, Qian-Min; Gao, Yi-Tian; Hu, Lei
10
2018
Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves. Zbl 1425.76044
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
10
2010
Integrable aspects and applications of a generalized inhomogeneous \(N\)-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation. Zbl 1220.81121
Xu, Tao; Li, Juan; Zhang, Hai-Qiang; Zhang, Ya-Xing; Hu, Wei; Gao, Yi-Tian; Tian, Bo
10
2008
Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073
Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei
10
2019
Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. Zbl 1392.35269
Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo
10
2011
Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1342.35305
Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Zhao, Chen; Gao, Zhe
9
2016
New families of exact solutions to the integrable dispersive long wave equations in \((2+1)\)-dimensional spaces. Zbl 0896.35131
Tian, Bo; Gao, Yitian
9
1996
The solitonic features of a nonintegrable (3+1)-dimensional Jimbo-Miwa equation. Zbl 1053.37059
Tian, Bo; Gao, Yi-Tian; Hong, Woopyo.
9
2002
The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019
Gao, Y.; Wang, M. Z.
9
2004
Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique. Zbl 1377.35057
Jia, Shu-Liang; Gao, Yi-Tian; Ding, Cui-Cui; Deng, Gao-Fu
9
2017
Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. Zbl 1448.35390
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui
8
2019
Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication. Zbl 1315.35061
Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie; Sun, Yu-Hao
8
2015
A refined beam theory based on the refined plate theory. Zbl 1078.74022
Gao, Y.; Wang, M. Z.
8
2005
The refined theory of rectangular curved beams. Zbl 1117.74031
Gao, Y.; Wang, M. Z.; Zhao, B. S.
8
2007
The refined theory of beams for a transversely isotropic body. Zbl 1140.74474
Gao, Y.; Xu, B. X.; Zhao, B. S.
8
2007
Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma. Zbl 1448.35084
Ding, Cui-Cui; Gao, Yi-Tian; Li, Liu-Qing
8
2019
Auto-Bäcklund transformation and two families of analytical solutions to the \((2+1)\)-dimensional soliton breaking equation. Zbl 1073.35532
Tian, Bo; Gao, Yi-Tian
7
1996
Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. Zbl 1356.76457
Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong
7
2012
Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation. Zbl 1096.76012
Gao, Yitian; Tian, Bo; Zhang, Chunyi
7
2006
Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. Zbl 1419.76089
Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin
7
2011
Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Zbl 1360.82057
Wang, Qi-Min; Gao, Yi-Tian; Su, Chuan-Qi; Mao, Bing-Qing; Gao, Zhe; Yang, Jin-Wei
7
2015
Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Zbl 1364.35317
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing; Qin, Yi
7
2014
Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Zbl 1162.76013
Xu, Xiaoge; Meng, Xianghua; Gao, Yitian; Wen, Xiaoyong
6
2009
On the generalized \(\tanh\) method for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1020.35516
Tian, Bo; Gao, Yi-Tian
6
1995
\((2+1)\)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation. Zbl 1173.35702
Tian, Bo; Li, He; Gao, Yi-Tian
6
2005
Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. Zbl 1284.35344
Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin
6
2011
\(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation. Zbl 1268.37085
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
6
2012
Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. Zbl 1458.35371
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing
6
2021
Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting
6
2020
On an analytical method and soliton-typed solutions for certain variable-coefficient partial differential equations in nonlinear mechanics. Zbl 0903.35062
Gao, Y. T.; Tian, B.
5
1998
Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023
Gao, Y.
5
2004
Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. Zbl 1377.35056
Huang, Qian-Min; Gao, Yi-Tian
5
2017
Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients. Zbl 1443.35127
Hu, Wen-Qiang; Gao, Yi-Tian; Lan, Zhong-Zhou; Su, Chuan-Qi; Feng, Yu-Jie
5
2017
On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics. Zbl 1437.35631
Jia, Ting-Ting; Gao, Yi-Tian; Feng, Yu-Jie; Hu, Lei; Su, Jing-Jing; Li, Liu-Qing; Ding, Cui-Cui
5
2019
Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique. Zbl 1467.76022
Hu, Lei; Gao, Yi-Tian; Jia, Ting-Ting; Deng, Gao-Fu; Li, Liu-Qing
5
2021
Bell polynomial approach and \(N\)-soliton solutions for a coupled KdV-mKdV system. Zbl 1263.37078
Qin, Yi; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing
4
2012
Some two-dimensional and non-travelling-wave observable effects of the shallow-water waves. Zbl 0997.76013
Gao, Yitian; Bo, Tian
4
2002
Solutions of a variable-coefficient Kadomtsev-Petviashvili equation via computer algebra. Zbl 0881.35105
Tian, Bo; Gao, Yi-Tian
4
1997
Computer algebra, Painlevé analysis and the time-dependent-coefficient nonlinear Schrödinger equation. Zbl 0855.35118
Tian, Bo; Gao, Yi-Tian
4
1996
Using symbolic computation to exactly solve for the Bogoyavlenskii’s generalized breaking soliton equation. Zbl 0870.35099
Gao, Yi-Tian; Tian, Bo
4
1997
On the two-dimensional regularized long-wave equation in fluids and plasmas. Zbl 1064.76018
Tian, Bo; Li, Wei; Gao, Yitian
4
2003
Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. Zbl 1331.35096
Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long
4
2014
Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability. Zbl 1360.37166
Su, Chuan-Qi; Gao, Yi-Tian; Yu, Xin; Xue, Long; Shen, Yu-Jia
4
2016
Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1277.35310
Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin
4
2010
Darboux transformation and explicit solutions for discretized modified Korteweg-de Vries lattice equation. Zbl 1219.35266
Wen, Xiao-Yong; Gao, Yi-Tian
4
2010
Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. Zbl 1231.35217
Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei
4
2011
Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber. Zbl 07261180
Su, Jing-Jing; Gao, Yi-Tian; Jia, Shu-Liang
4
2017
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Zbl 07514495
Liu, Fei-Yan; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Deng, Gao-Fu; Jia, Ting-Ting
4
2021
Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. Zbl 1297.76039
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo
3
2012
Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. Zbl 1264.35179
Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong
3
2011
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing
3
2009
Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. Zbl 1420.76001
Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin
3
2011
Exact solutions for the Bogoyavlenskiĭcoupled KdV equations. Zbl 1020.35526
Tian, Bo; Gao, Yi Tian
3
1995
Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. Zbl 1380.76007
Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei
3
2011
\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1362.76018
Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling
3
2011
Dynamics of the Manakov-typed bound vector solitons with random initial perturbations. Zbl 1247.35125
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
3
2012
\(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves. Zbl 1291.35023
Wen, Xiao-Yong; Gao, Yi-Tian
3
2012
Soliton-like solutions for a \((2+1)\)-dimensional generalization of the shallow water wave equations. Zbl 1080.35527
Tian, Bo; Gao, Yi-Tian
3
1996
Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin
3
2011
Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012
Gao, Y.
3
2006
Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1202.76027
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Gai, Xiao-Ling; Lin, Guo-Dong
3
2010
Solitons, Bäcklund transformation and Lax pair for a \((2+1)\)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth. Zbl 1465.37080
Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Mao, Bing-Qing
3
2017
Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves. Zbl 1462.35132
Feng, Yu-Jie; Gao, Yi-Tian; Li, Liu-Qing; Jia, Ting-Ting
3
2021
Lie group analysis for a higher-order Boussinesq-Burgers system. Zbl 1491.35010
Liu, Fei-Yan; Gao, Yi-Tian
3
2022
\(N\)-soliton solutions for the \((2+1)\)-dimensional Hirota-Maccari equation in fluids, plasmas and optical fibers. Zbl 1213.35172
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Meng, Xiang-Hua; Liu, Ying; Feng, Qian; Wang, Ming-Zhen
2
2011
Extending the generalized tanh method to the generalized Hamiltonian equations: New soliton-like solutions. Zbl 0890.35136
Tian, Bo; Gao, Yi-Tian
2
1997
N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. Zbl 1218.35207
Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo
2
2011
Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model. Zbl 1335.35223
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling
2
2012
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
2
2012
The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033
Gao, Y.; Xu, B. X.; Zhao, B. S.
2
2007
Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. Zbl 1275.76227
Gai, Xiao-Ling; Gao, Yi-Tian; Yu, Xin; Wang, Lei
2
2011
Analytic localized solitonic excitations for the \((2+1)\)-dimensional variable-coefficient breaking soliton model in fluids and plasmas. Zbl 1268.35104
Sun, Fu-Wei; Cai, Jiu-Xian; Gao, Yi-Tian
2
2012
Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005
Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui
2
2010
Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. Zbl 1392.35276
Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei
2
2008
Lie group analysis for a higher-order Boussinesq-Burgers system. Zbl 1491.35010
Liu, Fei-Yan; Gao, Yi-Tian
3
2022
Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. Zbl 1458.35371
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing
6
2021
Higher-order hybrid waves for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation for an irrotational incompressible fluid via the modified Pfaffian technique. Zbl 1467.76022
Hu, Lei; Gao, Yi-Tian; Jia, Ting-Ting; Deng, Gao-Fu; Li, Liu-Qing
5
2021
Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Zbl 07514495
Liu, Fei-Yan; Gao, Yi-Tian; Yu, Xin; Ding, Cui-Cui; Deng, Gao-Fu; Jia, Ting-Ting
4
2021
Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves. Zbl 1462.35132
Feng, Yu-Jie; Gao, Yi-Tian; Li, Liu-Qing; Jia, Ting-Ting
3
2021
Vector bright soliton interactions of the two-component AB system in a baroclinic fluid. Zbl 07511295
Ding, Cui-Cui; Gao, Yi-Tian; Hu, Lei; Deng, Gao-Fu; Zhang, Cai-Yin
2
2021
Solitons and periodic waves for the \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid mechanics. Zbl 1459.35076
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui; Jia, Ting-Ting
6
2020
Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma. Zbl 1483.35207
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu; Wang, Dong
1
2020
Solitons and breather waves for the generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt system in fluid mechanics, ocean dynamics and plasma physics. Zbl 07508178
Deng, Gao-Fu; Gao, Yi-Tian; Ding, Cui-Cui; Su, Jing-Jing
1
2020
Darboux transformations and rogue wave solutions of a generalized AB system for the geophysical flows. Zbl 1448.76087
Su, Jing-Jing; Gao, Yi-Tian; Ding, Cui-Cui
20
2019
Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves. Zbl 1430.37071
Ding, Cui-Cui; Gao, Yi-Tian; Deng, Gao-Fu
12
2019
Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons. Zbl 1430.74073
Jia, Ting-Ting; Gao, Yi-Tian; Deng, Gao-Fu; Hu, Lei
10
2019
Multi-breather wave solutions for a generalized (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. Zbl 1448.35390
Deng, Gao-Fu; Gao, Yi-Tian; Su, Jing-Jing; Ding, Cui-Cui
8
2019
Breathers and rogue waves on the periodic background for the Gerdjikov-Ivanov equation for the Alfvén waves in an astrophysical plasma. Zbl 1448.35084
Ding, Cui-Cui; Gao, Yi-Tian; Li, Liu-Qing
8
2019
On the quintic time-dependent coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics. Zbl 1437.35631
Jia, Ting-Ting; Gao, Yi-Tian; Feng, Yu-Jie; Hu, Lei; Su, Jing-Jing; Li, Liu-Qing; Ding, Cui-Cui
5
2019
Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1379.35293
Huang, Qian-Min; Gao, Yi-Tian; Hu, Lei
10
2018
Bilinear Bäcklund transformation, soliton and periodic wave solutions for a \((3 + 1)\)-dimensional variable-coefficient generalized shallow water wave equation. Zbl 1373.37163
Huang, Qian-Min; Gao, Yi-Tian; Jia, Shu-Liang; Wang, Ya-Le; Deng, Gao-Fu
15
2017
Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique. Zbl 1377.35057
Jia, Shu-Liang; Gao, Yi-Tian; Ding, Cui-Cui; Deng, Gao-Fu
9
2017
Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation. Zbl 1377.35056
Huang, Qian-Min; Gao, Yi-Tian
5
2017
Lattice Boltzmann model for a generalized Gardner equation with time-dependent variable coefficients. Zbl 1443.35127
Hu, Wen-Qiang; Gao, Yi-Tian; Lan, Zhong-Zhou; Su, Chuan-Qi; Feng, Yu-Jie
5
2017
Solitons for a generalized sixth-order variable-coefficient nonlinear Schrödinger equation for the attosecond pulses in an optical fiber. Zbl 07261180
Su, Jing-Jing; Gao, Yi-Tian; Jia, Shu-Liang
4
2017
Solitons, Bäcklund transformation and Lax pair for a \((2+1)\)-dimensional Broer-Kaup-Kupershmidt system in the shallow water of uniform depth. Zbl 1465.37080
Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Mao, Bing-Qing
3
2017
Solitons, Bäcklund transformation and Lax pair for a variable-coefficient generalized Boussinesq system in the shallow water. Zbl 1366.37136
Lan, Zhong-Zhou; Gao, Yi-Tian; Zhao, Chen; Yang, Jin-Wei; Su, Chuan-Qi
1
2017
Rogue waves in baroclinic flows. Zbl 1377.37103
Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long; Sun, Yu-Hao
1
2017
Solitons and Bäcklund transformation for a generalized (3+1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation in fluid dynamics. Zbl 1342.35305
Lan, Zhong-Zhou; Gao, Yi-Tian; Yang, Jin-Wei; Su, Chuan-Qi; Zhao, Chen; Gao, Zhe
9
2016
Exterior differential expression of the \((1+1)\)-dimensional nonlinear evolution equation with Lax integrability. Zbl 1360.37166
Su, Chuan-Qi; Gao, Yi-Tian; Yu, Xin; Xue, Long; Shen, Yu-Jia
4
2016
Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate. Zbl 1470.35125
Su, Chuan-Qi; Gao, Yi-Tian; Xue, Long; Wang, Qi-Min
2
2016
Improved Bell-polynomial procedure for the higher-order Korteweg-de Vries equations in fluid dynamics. Zbl 1410.35182
Shen, Yu-Jia; Gao, Yi-Tian; Meng, Gao-Qing; Qin, Yi; Yu, Xin
1
2016
Rogue waves for the generalized nonlinear Schrödinger-Maxwell-Bloch system in optical-fiber communication. Zbl 1315.35061
Zuo, Da-Wei; Gao, Yi-Tian; Xue, Long; Feng, Yu-Jie; Sun, Yu-Hao
8
2015
Dark solitonic interaction and conservation laws for a higher-order \((2+1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Zbl 1360.82057
Wang, Qi-Min; Gao, Yi-Tian; Su, Chuan-Qi; Mao, Bing-Qing; Gao, Zhe; Yang, Jin-Wei
7
2015
Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system. Zbl 1283.35116
Zuo, Da-Wei; Gao, Yi-Tian; Meng, Gao-Qing; Shen, Yu-Jia; Yu, Xin
21
2014
Bell-polynomial approach applied to the seventh-order Sawada-Kotera-Ito equation. Zbl 1364.35317
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing; Qin, Yi
7
2014
Rogue-wave interaction for a higher-order nonlinear Schrödinger-Maxwell-Bloch system in the optical-fiber communication. Zbl 1331.35096
Zuo, Da-Wei; Gao, Yi-Tian; Feng, Yu-Jie; Xue, Long
4
2014
Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system. Zbl 1368.35256
Meng, Gao-Qing; Gao, Yi-Tian; Sun, Yu-Hao; Qin, Yi; Yu, Xin
1
2014
Dynamics of bound vector solitons induced by stochastic perturbations: soliton breakup and soliton switching. Zbl 1302.35351
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
10
2013
Bell-polynomial application and multi-soliton solutions for the generalized variable-coefficient Drinfeld-Sokolov-Satsuma-Hirota system in fluids and plasmas. Zbl 1279.35080
Shen, Yu-Jia; Gao, Yi-Tian; Yu, Xin
2
2013
Analytical investigation of the Caudrey-Dodd-Gibbon-Kotera-Sawada equation using symbolic computation. Zbl 1270.37047
Xu, Xiao-Ge; Meng, Xiang-Hua; Zhang, Chun-Yi; Gao, Yi-Tian
1
2013
Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids. Zbl 1356.35212
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
19
2012
Painlevé analysis, Lax pair, Bäcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas. Zbl 1260.37043
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Shen, Yu-Jia; Qin, Yi
11
2012
Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. Zbl 1356.76457
Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong
7
2012
\(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation. Zbl 1268.37085
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
6
2012
Bell polynomial approach and \(N\)-soliton solutions for a coupled KdV-mKdV system. Zbl 1263.37078
Qin, Yi; Gao, Yi-Tian; Yu, Xin; Meng, Gao-Qing
4
2012
Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. Zbl 1297.76039
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo
3
2012
Dynamics of the Manakov-typed bound vector solitons with random initial perturbations. Zbl 1247.35125
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Liu, Ying
3
2012
\(N\)-soliton solutions and elastic interaction of the coupled lattice soliton equations for nonlinear waves. Zbl 1291.35023
Wen, Xiao-Yong; Gao, Yi-Tian
3
2012
Gauge transformation, elastic and inelastic interactions for the Whitham-Broer-Kaup shallow-water model. Zbl 1335.35223
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling
2
2012
Analytical and numerical studies on simple shear of a bimaterial strip by using elastic micromorphic theory. Zbl 1291.74057
Zhang, Z. H.; Nie, J. F.; Liu, Z. L.; Gao, Y.; Zhuang, Z.
2
2012
Analytic localized solitonic excitations for the \((2+1)\)-dimensional variable-coefficient breaking soliton model in fluids and plasmas. Zbl 1268.35104
Sun, Fu-Wei; Cai, Jiu-Xian; Gao, Yi-Tian
2
2012
Integrable hierarchy covering the lattice Burgers equation in fluid mechanics: \(N\)-fold Darboux transformation and conservation laws. Zbl 1264.37031
Wen, Xiao-Yong; Gao, Yi-Tian; Xue, Yu-Shan; Guo, Rui; Qi, Feng-Hua; Yu, Xin
1
2012
Multi-soliton and Pfaffian solutions of a \((2+1)\)-dimensional nonlinear evolution equation via the Jaulent-Miodek hierarchy. Zbl 1278.35218
Meng, Gao-Qing; Gao, Yi-Tian; Yu, Xin; Qin, Yi
1
2012
Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves. Zbl 1356.35205
Liu, Ying; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin
11
2011
Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. Zbl 1392.35269
Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo
10
2011
Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. Zbl 1419.76089
Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin
7
2011
Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. Zbl 1284.35344
Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin
6
2011
Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves. Zbl 1231.35217
Wen, Xiao-Yong; Gao, Yi-Tian; Wang, Lei
4
2011
Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. Zbl 1264.35179
Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong
3
2011
Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. Zbl 1420.76001
Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin
3
2011
Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. Zbl 1380.76007
Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei
3
2011
\(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1362.76018
Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling
3
2011
Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. Zbl 1221.35334
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin
3
2011
\(N\)-soliton solutions for the \((2+1)\)-dimensional Hirota-Maccari equation in fluids, plasmas and optical fibers. Zbl 1213.35172
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Meng, Xiang-Hua; Liu, Ying; Feng, Qian; Wang, Ming-Zhen
2
2011
N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. Zbl 1218.35207
Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo
2
2011
Painlevé property, auto-Bäcklund transformation and analytic solutions of a variable-coefficient modified Korteweg-de Vries model in a hot magnetized dusty plasma with charge fluctuations. Zbl 1275.76227
Gai, Xiao-Ling; Gao, Yi-Tian; Yu, Xin; Wang, Lei
2
2011
Infinite sequence of conservation laws and analytic solutions for a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. Zbl 1264.35204
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
1
2011
\(N\)-soliton solutions, Bäcklund transformation and Lax pair for a generalized variable-coefficient fifth-order Korteweg-de Vries equation. Zbl 1191.35242
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying
27
2010
Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves. Zbl 1425.76044
Wang, Lei; Gao, Yi-Tian; Qi, Feng-Hua
10
2010
Painlevé property, soliton-like solutions and complexitons for a coupled variable-coefficient modified Korteweg-de Vries system in a two-layer fluid model. Zbl 1277.35310
Zhu, Shunhui; Gao, Yitian; Yu, Xin; Sun, Zhiyuan; Gai, Xiaoling; Meng, Dexin
4
2010
Darboux transformation and explicit solutions for discretized modified Korteweg-de Vries lattice equation. Zbl 1219.35266
Wen, Xiao-Yong; Gao, Yi-Tian
4
2010
Interactions of solitons in a variable-coefficient generalized Boussinesq system in shallow water. Zbl 1202.76027
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Gai, Xiao-Ling; Lin, Guo-Dong
3
2010
Darboux transformation and soliton solutions for a variable-coefficient modified Kortweg-de Vries model from fluid mechanics, ocean dynamics, and plasma mechanics. Zbl 1251.76005
Gai, Xiao-Ling; Gao, Yi-Tian; Meng, De-Xin; Wang, Lei; Sun, Zhi-Yuan; Lü, Xing; Feng, Qian; Wang, Ming-Zhen; Yu, Xin; Zhu, Shun-Hui
2
2010
An inexact SQP Newton method for convex SC\(^{1}\) minimization problems. Zbl 1197.90314
Chen, Y. D.; Gao, Y.; Liu, Y.-J.
2
2010
Integrable properties for a generalized non-isospectral and variable-coefficient Korteweg-de Vries model. Zbl 1188.37066
Xu, Xiao-Ge; Meng, Xiang-Hua; Sun, Fu-Wei; Gao, Yi-Tian
1
2010
Vandermonde-type odd-soliton solutions for the Whitham-Broer-Kaup model in the shallow water small-amplitude regime. Zbl 1200.35274
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Yu, Xin; Sun, Zhi-Yuan
1
2010
Inelastic interactions and double Wronskian solutions for the Whitham-Broer-Kaup model in shallow water. Zbl 1423.35321
Wang, Lei; Gao, Yi-Tian; Gai, Xiao-Ling; Sun, Zhi-Yuan
23
2009
Inelastic interactions of the multiple-front waves for the modified Kadomtsev-Petviashvili equation in fluid dynamics, plasma physics and electrodynamics. Zbl 1231.37045
Sun, Zhi-Yuan; Gao, Yi-Tian; Yu, Xin; Meng, Xiang-Hua; Liu, Ying
19
2009
Analytic \(N\)-solitary-wave solution of a variable-coefficient Gardner equation from fluid dynamics and plasma physics. Zbl 1162.76013
Xu, Xiaoge; Meng, Xianghua; Gao, Yitian; Wen, Xiaoyong
6
2009
Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. Zbl 1181.35219
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing
3
2009
Integrable aspects and applications of a generalized inhomogeneous \(N\)-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation. Zbl 1220.81121
Xu, Tao; Li, Juan; Zhang, Hai-Qiang; Zhang, Ya-Xing; Hu, Wei; Gao, Yi-Tian; Tian, Bo
10
2008
Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. Zbl 1392.35276
Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei
2
2008
Bäcklund transformation and analytic solutions for a generalized variable-coefficient modified Korteweg-de Vries model from fluid dynamics and plasmas. Zbl 1175.35130
Sun, Fu-Wei; Gao, Yi-Tian; Zhang, Chun-Yi; Xu, Xiao-Ge
1
2008
Symbolic computation on integrable decompositions for the cylindrical Kadomtsev-Petviashvili equation from dusty plasmas and Bose-Einstein condensates. Zbl 1175.76169
Li, Juan; Xu, Tao; Zhang, Hai-Qiang; Gao, Yi-Tian; Tian, Bo
1
2008
Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation. Zbl 1203.81067
Tian, Bo; Gao, Yi-Tian; Zhu, Hong-Wu
44
2007
Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas. Zbl 1197.82028
Tian, Bo; Gao, Yi-Tian
43
2007
Reply to: “Comment on: ‘Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation’ ” [Phys. Lett. A 361 (2007) 520]. Zbl 1325.35192
Gao, Yi-Tian; Tian, Bo
38
2007
The refined theory of rectangular curved beams. Zbl 1117.74031
Gao, Y.; Wang, M. Z.; Zhao, B. S.
8
2007
The refined theory of beams for a transversely isotropic body. Zbl 1140.74474
Gao, Y.; Xu, B. X.; Zhao, B. S.
8
2007
The decomposed form of magnetoelastic beams with free faces. Zbl 1123.74033
Gao, Y.; Xu, B. X.; Zhao, B. S.
2
2007
Multiple soliton-like solutions and similarity reductions of a spherical Kadomtsev-Petviashvili equation from plasma physics. Zbl 1355.35040
Li, Ye-Zhou; Liu, Jian-Guo; Wei, Guang-Mei; Gao, Yi-Tian
1
2007
Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation. Zbl 1160.37401
Tian, Bo; Wei, Guang-Mei; Zhang, Chun-Yi; Shan, Wen-Rui; Gao, Yi-Tian
49
2006
Integrable properties of a variable-coefficient Korteweg-de Vries model from Bose-Einstein condensates and fluid dynamics. Zbl 1148.82308
Zhang, Chun-Yi; Gao, Yi-Tian; Meng, Xiang-Hua; Li, Juan; Xu, Tao; Wei, Guang-Mei; Zhu, Hong-Wu
11
2006
Painlevé analysis, auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries (KdV) equation. Zbl 1189.35296
Wei, Guang-Mei; Gao, Yi-Tian; Hu, Wei; Zhang, Chun-Yi
11
2006
Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation. Zbl 1096.76012
Gao, Yitian; Tian, Bo; Zhang, Chunyi
7
2006
Differences of polyhedra in matrix space and their applications to nonsmooth analysis. Zbl 1123.49012
Gao, Y.
3
2006
Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers. Zbl 1222.78043
Tian, Bo; Gao, Yi-Tian
39
2005
Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation. Zbl 1145.35451
Tian, Bo; Gao, Yi-Tian
38
2005
On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation. Zbl 1145.35452
Tian, Bo; Gao, Yi-Tian
30
2005
A refined beam theory based on the refined plate theory. Zbl 1078.74022
Gao, Y.; Wang, M. Z.
8
2005
\((2+1)\)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation. Zbl 1173.35702
Tian, Bo; Li, He; Gao, Yi-Tian
6
2005
The refined theory of magnetoelastic rectangular beams. Zbl 1067.74019
Gao, Y.; Wang, M. Z.
9
2004
Representation of the Clarke generalized Jacobian via the quasidifferential. Zbl 1059.49023
Gao, Y.
5
2004
...and 24 more Documents
all top 5

Cited by 637 Authors

96 Tian, Bo
51 Gao, Yitian
21 Meng, Xianghua
21 Yu, Xin
20 Liu, Wenjun J.
19 Xu, Tao
17 Wang, Pan
16 Jiang, Yan
16 Lü, Xing
15 Sun, Zhiyuan
15 Zhang, Hongqing
14 Qu, Qixing
13 Li, Min
13 Wang, Lei
11 Meng, Dexin
11 Shan, Wenrui
11 Zhang, Haiqiang
10 Sun, Kun
10 Wei, Guangmei
10 Zhang, Chun-Yi
9 Gai, Xiaoling
9 Qi, Fenghua
9 Wang, Ming
8 Chen, Yong
8 Gao, Xinyi
8 Li, Bangqing
8 Wen, Xiaoyong
8 Zhang, Sheng
8 Zhang, Yi
8 Zhen, Hui-Ling
7 Biswas, Anjan
7 Guo, Yongjiang
7 Li, He
7 Li, Juan
7 Ma, Yulan
7 Xue, Yushan
6 Chen, Su-Su
6 Li, Lili
6 Liu, Jian Guo
6 Liu, Ying
6 Ma, Wen-Xiu
6 Meng, Gao-Qing
6 Qin, Bo
6 Song, Lina
6 Tian, Shoufu
6 Wang, Yufeng
6 Wazwaz, Abdul-Majid Abdul-Rahman
6 Zhang, Tiantian
6 Zhu, Wenhui
5 Fan, Engui
5 Feng, Yujie
5 Li, Biao
5 Li, Xiaonan
5 Liang, Yueqian
5 Shen, Yujia
5 Sun, Wen-Rong
5 Tang, Yaning
5 Triki, Houria
5 Xie, Xi-Yang
5 Yin, Hui-Min
5 Yu, Fajun
5 Zhang, Chen-Rong
5 Zhang, Cheng
5 Zhao, Xue-Hui
4 Chen, Yiren
4 Cheng, Li
4 Dehghan Takht Fooladi, Mehdi
4 Du, Xia-Xia
4 Guo, Rui
4 Huang, Qian-Min
4 Kofané, Timoléon Crépin
4 Lan, Zhongzhou
4 Lin, Zhiqiang
4 Liu, Hanze
4 Lu, Dianchen
4 Su, Jingjing
4 Sun, Ya
4 Sun, Yan
4 Wu, Xiaoyu
4 Xin, Xiangpeng
4 Xu, Xiaoge
4 Zhu, Hongwu
4 Zuo, Dawei
3 Ai, Guo-Ping
3 Chai, Jun
3 Choudhury, Sudipto Roy
3 Deng, Gao-Fu
3 Ding, Cui-Cui
3 Dong, Huanhe
3 Du, Zhong
3 Feng, Qian
3 Gupta, Rajesh Kumar
3 He, Yan
3 Hong, Siyu
3 Li, Dejun
3 Lin, Guo-Dong
3 Liu, Lei
3 Liu, Li-Cai
3 Ma, Zhengyi
3 Mirzazadeh, Mohammad
...and 537 more Authors
all top 5

Cited in 86 Serials

73 Nonlinear Dynamics
66 Applied Mathematics and Computation
30 Applied Mathematics Letters
22 Computers & Mathematics with Applications
21 Communications in Nonlinear Science and Numerical Simulation
18 International Journal of Modern Physics B
16 Waves in Random and Complex Media
13 Chaos, Solitons and Fractals
13 International Journal of Computer Mathematics
12 Journal of Mathematical Physics
8 International Journal of Modern Physics C
8 Advances in Difference Equations
7 International Journal of Theoretical Physics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Mathematical Methods in the Applied Sciences
6 Communications in Theoretical Physics
6 Advances in Mathematical Physics
5 Physics Letters. A
5 Journal of Computational and Applied Mathematics
5 Mathematical Problems in Engineering
5 Qualitative Theory of Dynamical Systems
5 Journal of Modern Optics
5 International Journal of Applied and Computational Mathematics
4 Acta Mechanica
4 Applicable Analysis
4 Wave Motion
4 Studies in Applied Mathematics
4 Physica D
4 International Journal of Nonlinear Sciences and Numerical Simulation
3 Astrophysics and Space Science
3 Journal of Mathematical Analysis and Applications
3 Physica A
3 Abstract and Applied Analysis
3 Chaos
3 Journal of Nonlinear Mathematical Physics
3 Analysis and Mathematical Physics
3 Journal of Applied Analysis and Computation
3 AIMS Mathematics
2 Computer Physics Communications
2 Reports on Mathematical Physics
2 Theoretical and Mathematical Physics
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Journal of Geometry and Physics
2 Applied Numerical Mathematics
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematical Modelling
2 Applied Mathematics. Series B (English Edition)
2 Computational and Applied Mathematics
2 Complexity
2 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
2 The European Physical Journal B. Condensed Matter and Complex Systems
2 East Asian Journal on Applied Mathematics
1 Modern Physics Letters A
1 Modern Physics Letters B
1 International Journal of Modern Physics A
1 Computers and Fluids
1 Earth, Moon, and Planets
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quaestiones Mathematicae
1 Quarterly of Applied Mathematics
1 Ricerche di Matematica
1 Applied Mathematics and Mechanics. (English Edition)
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Symbolic Computation
1 Mathematical and Computer Modelling
1 Journal of Scientific Computing
1 Journal of Dynamics and Differential Equations
1 Journal of Nonlinear Science
1 Fractals
1 Acta Mathematica Sinica. English Series
1 Nonlinear Analysis. Real World Applications
1 Acta Mathematica Scientia. Series A. (Chinese Edition)
1 Entropy
1 Boundary Value Problems
1 Journal of Mathematical Physics, Analysis, Geometry
1 Communications in Computational Physics
1 Journal of Nonlinear Science and Applications
1 Advances in Applied Mathematics and Mechanics
1 Symmetry
1 ISRN Mathematical Analysis
1 Arabian Journal for Science and Engineering
1 Annalen der Physik
1 Axioms
1 International Journal of Partial Differential Equations
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Citations by Year