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Author ID: xia.tie-cheng Recent zbMATH articles by "Xia, Tie-Cheng"
Published as: Xia, Tiecheng; Xia, Tie-Cheng; Xia, Tie-cheng; Xia, T.
Homepage: http://www.sci.shu.edu.cn/Default.aspx?tabid=17204&ctl=Detail&mid=31211&Id=60007...
all top 5

Serials

22 Chaos, Solitons and Fractals
13 Communications in Theoretical Physics
9 Applied Mathematics and Computation
7 Acta Mathematica Scientia. Series A. (Chinese Edition)
6 Chinese Quarterly Journal of Mathematics
6 Communication on Applied Mathematics and Computation
5 Journal of Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 Physics Letters. A
5 Applied Mathematics Letters
5 Journal of Shanghai University. Natural Science
5 Communications in Nonlinear Science and Numerical Simulation
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Chinese Journal of Engineering Mathematics
4 Journal of Shanghai University
4 Applied Mathematics E-Notes
4 Journal of Bohai University. Natural Science Edition
3 Chinese Annals of Mathematics. Series A
3 Fractals
3 Nonlinear Dynamics
3 Abstract and Applied Analysis
3 Journal of Applied Mathematics
3 Advances in Mathematical Physics
2 Computers & Mathematics with Applications
2 Annals of Differential Equations
2 Journal of Dalian University of Technology
2 International Journal of Geometric Methods in Modern Physics
2 Advances in Difference Equations
2 Frontiers of Mathematics in China
1 Modern Physics Letters A
1 Modern Physics Letters B
1 International Journal of Modern Physics B
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Journal of Mathematics. Wuhan University
1 Applied Mathematics and Mechanics. (English Edition)
1 Advances in Mathematics (Beijing)
1 Physica D
1 Journal of Systems Science and Mathematical Sciences
1 Acta Mathematicae Applicatae Sinica. English Series
1 Mathematica Applicata
1 Annals of Physics
1 Applied Mathematics. Series A (Chinese Edition)
1 Mathematical Problems in Engineering
1 Far East Journal of Applied Mathematics
1 Journal of Gansu University of Technology
1 Discrete Dynamics in Nature and Society
1 Physica Scripta
1 Nonlinear Analysis. Real World Applications
1 Far East Journal of Dynamical Systems
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science
1 Complex Variables and Elliptic Equations
1 Complex Analysis and Operator Theory
1 Journal of Physics A: Mathematical and Theoretical
1 Journal of Mathematical Control Science and Applications
1 Journal of Nonlinear Science and Applications
1 Communications in Mathematical Research
1 Analysis and Mathematical Physics
1 Journal of Mathematical Research with Applications
1 Journal of Applied Analysis and Computation
1 East Asian Journal on Applied Mathematics
1 Kuwait Journal of Science
1 Annals of Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 682 times in 462 Documents Cited by Year
Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232
Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu
31
2018
A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Zbl 1197.35008
Zhang, Sheng; Xia, Tiecheng
29
2007
A generalized \(F\)-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations. Zbl 1111.35318
Zhang, Sheng; Xia, Tiecheng
27
2006
A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations. Zbl 1105.35320
Zhang, Sheng; Xia, Tie-Cheng
24
2007
A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. Zbl 1403.35193
Zhang, Ning; Xia, Tie-cheng; Fan, En-gui
22
2018
Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations. Zbl 1078.35118
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
21
2005
A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1160.37404
Zhang, Sheng; Xia, Tiecheng
19
2006
New explicit and exact solutions for the Nizhnik-Novikov-Vesselov equation. Zbl 0996.35066
Xia, Tiecheng; Li, Biao; Zhang, Hongqing
18
2001
Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025
Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo
17
2018
Symbolic computation and new families of exact soliton-like solutions of Konopelchenko-Dubrovsky equations. Zbl 1049.35171
Xia, Tie-cheng; Lü, Zhuo-sheng; Zhang, Hong-qing
16
2004
The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103
Xia, Tiecheng; Fan, Engui
15
2005
The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions. Zbl 1102.37044
Yu, Fajun; Xia, Tiecheng; Zhang, Hongqing
15
2006
Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Zbl 1117.65143
Zhang, Sheng; Xia, Tiecheng
13
2006
A further improved tanh function method exactly solving the \((2+1)\)-dimensional dispersive long wave equations. Zbl 1161.35496
Zhang, Sheng; Xia, Tie-cheng
13
2008
\(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. Zbl 1448.37086
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan
13
2018
A Riemann-Hilbert approach to complex Sharma-Tasso-Olver equation on half line. Zbl 1382.35261
Zhang, Ning; Xia, Tie-Cheng; Hu, Bei-Bei
11
2017
A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. Zbl 1397.35274
Hu, Beibei; Xia, Tiecheng
11
2018
Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation. Zbl 1277.35306
Ma, Wen-Xiu; Xia, Tiecheng
11
2013
An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. Zbl 1221.35384
Zhang, Sheng; Xia, Tiecheng
10
2008
The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions. Zbl 1088.37038
Xia, Tiecheng; Yu, Fajun; Chen, Dengyuan
10
2005
Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation. Zbl 1440.35027
Kang, Zhou-Zheng; Xia, Tie-Cheng
10
2020
On the Riemann-Hilbert problem of the Kundu equation. Zbl 1474.35228
Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning
10
2020
Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1155.65385
Zhang, Sheng; Xia, Tiecheng
9
2006
Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation. Zbl 1436.35066
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
9
2020
A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations. Zbl 1122.65095
Zhang, Sheng; Xia, Tiecheng
9
2007
High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics. Zbl 1434.35007
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
9
2020
The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures. Zbl 1142.37047
You, Fucai; Xia, Tiecheng
9
2008
New exact traveling wave solutions for compound KdV-Burgers equations in mathematical physics. Zbl 0996.35068
Zheng, Xuedong; Xia, Tiecheng; Zhang, Hongqing
9
2002
A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system. Zbl 1071.37047
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
8
2005
A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations. Zbl 1217.35154
Wu, Guo-Cheng; Xia, Tie-Cheng
7
2008
Decomposition of the generalized KP, cKP and mKP and their exact solutions. Zbl 1220.35136
You, Fucai; Xia, Tiecheng; Chen, Dengyuan
7
2008
Exact solutions of (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation. Zbl 1201.81051
Xia, Tiecheng; Xiong, Shouquan
7
2010
A new method for constructing soliton solutions to differential-difference equation with symbolic computation. Zbl 1197.35250
Wu, Guo-Cheng; Xia, Tie-Cheng
7
2009
Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070
Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo
7
2018
A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082
Zhang, Ning; Xia, Tiecheng
7
2015
A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system. Zbl 1099.37052
Xia, Tiecheng; You, Fucai
6
2006
Multi-component \(C\)-KdV hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1167.37351
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
6
2004
Conservation laws for a super G-J hierarchy with self-consistent sources. Zbl 1245.37011
Wang, Hui; Xia, Tie-Cheng
6
2012
The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy. Zbl 1306.37083
Wang, Hui; Xia, Tie-Cheng
6
2013
\(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP. Zbl 1458.35120
Li, Jian; Xia, Tiecheng
5
2021
Variable-coefficient extended mapping method for nonlinear evolution equations. Zbl 1220.81102
Zhang, Sheng; Xia, Tiecheng
5
2008
Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. Zbl 1229.35254
Zhang, Sheng; Xia, Tiecheng
5
2011
The Riemann-Hilbert approach to initial-boundary value problems for integrable coherently coupled nonlinear Schrödinger systems on the half-line. Zbl 1466.35276
Hu, Beibei; Xia, Tiecheng; Ma, Wen-Xiu
5
2018
A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization. Zbl 1466.35277
Li, Jian; Xia, Tiecheng
5
2021
Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem. Zbl 1504.35208
Liu, Tongshuai; Xia, Tiecheng
5
2022
Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy. Zbl 1302.37043
Yue, Chao; Xia, Tiecheng
5
2014
The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions. Zbl 1093.37028
Xia, Tiecheng; You, Fucai
5
2005
A generalized cubic Volterra lattice hierarchy and its integrable couplings system. Zbl 1083.37052
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
5
2006
Bell polynomial approach to an extended Korteweg-de Vries equation. Zbl 1304.37052
Wang, Hui; Xia, Tiecheng
5
2014
Conservation laws and self-consistent sources for a super KN hierarchy. Zbl 1284.35382
Wang, Hui; Xia, Tiecheng
5
2013
The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy. Zbl 1298.37060
Wang, Hui; Xia, Tie-Cheng
5
2013
A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. Zbl 1447.35239
Hu, Beibei; Xia, Tiecheng
5
2019
Super-KN hierarchy and its super-Hamiltonian structure. Zbl 1264.37027
Mo, Si-Xing; Xia, Tie-Cheng; Shi, Hui
5
2011
Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources. Zbl 1309.37057
Wang, Hui; Xia, Tiecheng
5
2014
Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. Zbl 1136.81385
You, Fucai; Xia, Tiecheng
4
2007
Image encryption technology based on fractional two-dimensional discrete chaotic map accompanied with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1486.94126
Liu, Ze-Yu; Xia, Tiecheng; Wang, Yi-Ping
4
2021
Two super-integrable hierarchies and their super-Hamiltonian structures. Zbl 1221.37135
Tao, Sixing; Xia, Tiecheng
4
2011
New explicit and exact travelling wave solutions for a class of nonlinear evolution equations. Zbl 0982.35101
Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya
4
2001
Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1135.37332
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
4
2005
A generalized AKNS hierarchy and its bi-Hamiltonian structures. Zbl 1071.37048
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
4
2005
Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. Zbl 1189.34123
Wu, Guo-Cheng; Xia, Tie-Cheng
4
2009
Frobenius integrable decompositions for two classes of nonlinear evolution equations with variable coefficients. Zbl 1185.37151
You, Fucai; Xia, Tiecheng; Zhang, Jiao
4
2009
Darboux transformation to the nonlocal complex short pulse equation. Zbl 1484.35013
Li, Jian; Xia, Tiecheng
3
2022
A Lax integrable hierarchy, bi-Hamiltonian structure and finite-dimensional Liouville integrable involutive systems. Zbl 1060.37062
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
3
2004
Dromion and other exact solutions of \((2+1)\)-dimensional dispersive long water equations. Zbl 1062.35093
Xia, Tie-Cheng; Chen, Deng-Yuan
3
2004
Double periodic wave solutions of the \((2 + 1)\)-dimensional Sawada-Kotera equation. Zbl 1474.35581
Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng
3
2014
Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. Zbl 1458.35388
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
3
2021
Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy. Zbl 1364.37149
Wei, Han-yu; Xia, Tie-cheng
3
2013
Nonclassical symmetry of the wave equation with source term. Zbl 1265.35193
Temuer, Chaolu; Eerdun, Buhe; Xia, Tiecheng
3
2012
A new loop algebra and its application to the multi-component S-mKdV hierarchy. Zbl 1130.37034
Xia, Tiecheng; Jiao, Zhang; You, Fucai
3
2007
Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach. Zbl 1517.35204
Guo, Han-Dong; Xia, Tie-Cheng
3
2021
A new loop algebra \(\tilde A_5\) and its applications to integrable system. Zbl 1142.37366
You, Fucai; Xia, Tiecheng
2
2008
Image encryption based on two-dimensional fractional quadric polynomial map. Zbl 1491.39012
Liu, Ze-Yu; Xia, Tie-Cheng; Feng, Hua-Rong; Ma, Chang-You
2
2021
Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation. Zbl 07336605
Guo, Han-Dong; Xia, Tie-Cheng
2
2020
A two-component generalization of Burgers’ equation with quasi-periodic solution. Zbl 1311.35010
Pan, Hongfei; Xia, Tiecheng; Chen, Dengyuan
2
2014
A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability. Zbl 1401.37071
Ma, Wen-Xiu; Xia, Tiecheng; Zhu, Zuonong
2
2014
Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources. Zbl 1402.35235
Wei, Hanyu; Xia, Tiecheng
2
2018
A new negative discrete hierarchy and its \(N\)-fold Darboux transformation. Zbl 1382.37072
Zhang, Ning; Xia, Tie-Cheng
2
2017
Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. Zbl 1406.35330
Hu, Beibei; Ma, Wen-xiu; Xia, Tiecheng; Zhang, Ling
2
2018
The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1070.35045
Xia, Tiecheng; Yu, Fa-Jun; Chen, Dengyuan
2
2005
A new integrable couplings of classical-Boussinesq hierarchy with self-consistent sources. Zbl 1221.37125
Ge, Jian-Ya; Xia, Tie-Cheng
2
2010
Exact solutions of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation with \((G^{\prime}/G)\)-expansion method. Zbl 1223.35270
Xiong, Shou-Quan; Xia, Tie-Cheng
2
2010
The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. Zbl 1298.37062
Yue, Chao; Xia, Tiecheng
2
2013
Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1459.35303
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
2
2019
The unified transform method to initial-boundary value problem for a coupled cubic-quintic nonlinear Schrödinger system. Zbl 1428.35517
Hu, Beibei; Xia, Tiecheng; Zhang, Ning
2
2019
New integrable couplings of generalized Kaup-Newell hierarchy and its Hamiltonian structures. Zbl 1247.37053
Xia, Tie-Cheng; Zang, Gao-Lian; Fan, En. Gui
2
2011
A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws. Zbl 1406.35373
Wei, Hanyu; Xia, Tiecheng
2
2018
The \(N\)-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach. Zbl 1465.35347
Li, Jian; Xia, Tiecheng; Wei, Hanyu
1
2021
Abundant multiwave solutions to the \((3+1)\)-dimensional Sharma-Tasso-Olver-like equation. Zbl 1463.35150
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
1
2019
The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures. Zbl 1157.37333
You, Fucai; Xia, Tiecheng
1
2008
Realistic solutions of fluid spheres in \(f(\mathcal{G},\mathcal{T})\) gravity under Karmarkar condition. Zbl 1432.83042
Mustafa, G.; Xia, Tie-Cheng; Shamir, M. Farasat
1
2020
Constructing super D-Kaup-Newell hierarchy and its nonlinear integrable coupling with self-consistent sources. Zbl 1441.37075
Wei, Hanyu; Xia, Tiecheng
1
2019
Three nonlinear integrable couplings of the nonlinear Schrödinger equations. Zbl 1225.37076
Wang, Hui; Xia, Tie-cheng
1
2011
Long-time asymptotics for the nonlocal Kundu-nonlinear-Schrödinger equation by the nonlinear steepest descent method. Zbl 1516.37116
Li, Jian; Xia, Tiecheng; Guo, Handong
1
2022
A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws. Zbl 1400.37082
Wei, Hanyu; Xia, Tiecheng; He, Guoliang
1
2016
\(2N + 1\)-soliton solutions of Boussinesq-Burgers equation. Zbl 1389.35117
Li, Qian; Xia, Tiecheng; Chen, Dengyuan
1
2017
A new approach to construct exact solutions of nonlinear evolution equations. Zbl 0982.35100
Xia, Tiecheng; Zhang, Hongqing; Yan, Zhenya
1
2001
The multi-component NLS-mKdV hierarchy and its integrable couplings system. Zbl 1129.35448
Zhoa, Wenying; Xia, Tiecheng
1
2006
The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions. Zbl 1064.37056
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
1
2005
New families of exact soliton-like solutions and dromion solutions to the \((2+1)\)-dimensional higher-order Broer-Kaup equations. Zbl 1070.35078
Xia, Tiecheng; Chen, Dengyuan
1
2005
Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem. Zbl 1504.35208
Liu, Tongshuai; Xia, Tiecheng
5
2022
Darboux transformation to the nonlocal complex short pulse equation. Zbl 1484.35013
Li, Jian; Xia, Tiecheng
3
2022
Long-time asymptotics for the nonlocal Kundu-nonlinear-Schrödinger equation by the nonlinear steepest descent method. Zbl 1516.37116
Li, Jian; Xia, Tiecheng; Guo, Handong
1
2022
\(N\)-soliton solutions for the nonlocal Fokas-Lenells equation via RHP. Zbl 1458.35120
Li, Jian; Xia, Tiecheng
5
2021
A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization. Zbl 1466.35277
Li, Jian; Xia, Tiecheng
5
2021
Image encryption technology based on fractional two-dimensional discrete chaotic map accompanied with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1486.94126
Liu, Ze-Yu; Xia, Tiecheng; Wang, Yi-Ping
4
2021
Riemann-Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation. Zbl 1458.35388
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
3
2021
Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach. Zbl 1517.35204
Guo, Han-Dong; Xia, Tie-Cheng
3
2021
Image encryption based on two-dimensional fractional quadric polynomial map. Zbl 1491.39012
Liu, Ze-Yu; Xia, Tie-Cheng; Feng, Hua-Rong; Ma, Chang-You
2
2021
The \(N\)-soliton solutions to the Hirota and Maxwell-Bloch equation via the Riemann-Hilbert approach. Zbl 1465.35347
Li, Jian; Xia, Tiecheng; Wei, Hanyu
1
2021
Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy. Zbl 1483.37087
Yue, Chao; Xia, Tiecheng
1
2021
Construction of abundant solutions of the \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation. Zbl 1440.35027
Kang, Zhou-Zheng; Xia, Tie-Cheng
10
2020
On the Riemann-Hilbert problem of the Kundu equation. Zbl 1474.35228
Hu, Beibei; Zhang, Ling; Xia, Tiecheng; Zhang, Ning
10
2020
Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation. Zbl 1436.35066
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
9
2020
High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics. Zbl 1434.35007
Guo, Han-Dong; Xia, Tie-Cheng; Hu, Bei-Bei
9
2020
Lump and lump-kink soliton solutions of an extended Boiti-Leon-Manna-Pempinelli equation. Zbl 07336605
Guo, Han-Dong; Xia, Tie-Cheng
2
2020
Realistic solutions of fluid spheres in \(f(\mathcal{G},\mathcal{T})\) gravity under Karmarkar condition. Zbl 1432.83042
Mustafa, G.; Xia, Tie-Cheng; Shamir, M. Farasat
1
2020
Stable wormholes solutions in the background of Rastall theory. Zbl 1434.83105
Mustafa, G.; Shahzad, M. R.; Abbas, G.; Xia, T.
1
2020
A Riemann-Hilbert approach to the initial-boundary value problem for Kundu-Eckhaus equation on the half line. Zbl 1447.35239
Hu, Beibei; Xia, Tiecheng
5
2019
Riemann-Hilbert approach and \(N\)-soliton solution for an eighth-order nonlinear Schrödinger equation in an optical fiber. Zbl 1459.35303
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
2
2019
The unified transform method to initial-boundary value problem for a coupled cubic-quintic nonlinear Schrödinger system. Zbl 1428.35517
Hu, Beibei; Xia, Tiecheng; Zhang, Ning
2
2019
Abundant multiwave solutions to the \((3+1)\)-dimensional Sharma-Tasso-Olver-like equation. Zbl 1463.35150
Kang, Zhou-Zheng; Xia, Tie-Cheng; Ma, Wen-Xiu
1
2019
Constructing super D-Kaup-Newell hierarchy and its nonlinear integrable coupling with self-consistent sources. Zbl 1441.37075
Wei, Hanyu; Xia, Tiecheng
1
2019
Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. Zbl 1427.35232
Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu
31
2018
A Riemann-Hilbert approach to the Chen-Lee-Liu equation on the half line. Zbl 1403.35193
Zhang, Ning; Xia, Tie-cheng; Fan, En-gui
22
2018
Initial-boundary value problems for the coupled higher-order nonlinear Schrödinger equations on the half-line. Zbl 1401.35025
Hu, Bei-bei; Xia, Tie-cheng; Zhang, Ning; Wang, Jin-bo
17
2018
\(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. Zbl 1448.37086
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan
13
2018
A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half-line. Zbl 1397.35274
Hu, Beibei; Xia, Tiecheng
11
2018
Image encryption technology based on fractional two-dimensional triangle function combination discrete chaotic map coupled with Menezes-Vanstone elliptic curve cryptosystem. Zbl 1417.94070
Liu, Zeyu; Xia, Tiecheng; Wang, Jinbo
7
2018
The Riemann-Hilbert approach to initial-boundary value problems for integrable coherently coupled nonlinear Schrödinger systems on the half-line. Zbl 1466.35276
Hu, Beibei; Xia, Tiecheng; Ma, Wen-Xiu
5
2018
Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources. Zbl 1402.35235
Wei, Hanyu; Xia, Tiecheng
2
2018
Nonlinear integrable couplings of a generalized super Ablowitz-Kaup-Newell-Segur hierarchy and its super bi-Hamiltonian structures. Zbl 1406.35330
Hu, Beibei; Ma, Wen-xiu; Xia, Tiecheng; Zhang, Ling
2
2018
A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws. Zbl 1406.35373
Wei, Hanyu; Xia, Tiecheng
2
2018
A Riemann-Hilbert approach to complex Sharma-Tasso-Olver equation on half line. Zbl 1382.35261
Zhang, Ning; Xia, Tie-Cheng; Hu, Bei-Bei
11
2017
A new negative discrete hierarchy and its \(N\)-fold Darboux transformation. Zbl 1382.37072
Zhang, Ning; Xia, Tie-Cheng
2
2017
\(2N + 1\)-soliton solutions of Boussinesq-Burgers equation. Zbl 1389.35117
Li, Qian; Xia, Tiecheng; Chen, Dengyuan
1
2017
A new soliton hierarchy associated with \(\mathrm{so} (3, \mathbb R)\) and its conservation laws. Zbl 1400.37082
Wei, Hanyu; Xia, Tiecheng; He, Guoliang
1
2016
A hierarchy of lattice soliton equations associated with a new discrete eigenvalue problem and Darboux transformations. Zbl 1401.37082
Zhang, Ning; Xia, Tiecheng
7
2015
Algebro-geometric solutions for the complex Sharma-Tasso-Olver hierarchy. Zbl 1302.37043
Yue, Chao; Xia, Tiecheng
5
2014
Bell polynomial approach to an extended Korteweg-de Vries equation. Zbl 1304.37052
Wang, Hui; Xia, Tiecheng
5
2014
Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources. Zbl 1309.37057
Wang, Hui; Xia, Tiecheng
5
2014
Double periodic wave solutions of the \((2 + 1)\)-dimensional Sawada-Kotera equation. Zbl 1474.35581
Zhao, Zhonglong; Zhang, Yufeng; Xia, Tiecheng
3
2014
A two-component generalization of Burgers’ equation with quasi-periodic solution. Zbl 1311.35010
Pan, Hongfei; Xia, Tiecheng; Chen, Dengyuan
2
2014
A generalization of the Wadati-Konno-Ichikawa soliton hierarchy and its Liouville integrability. Zbl 1401.37071
Ma, Wen-Xiu; Xia, Tiecheng; Zhu, Zuonong
2
2014
Pfaffianized systems for a generalized Kadomtsev-Petviashvili equation. Zbl 1277.35306
Ma, Wen-Xiu; Xia, Tiecheng
11
2013
The fractional supertrace identity and its application to the super Jaulent-Miodek hierarchy. Zbl 1306.37083
Wang, Hui; Xia, Tie-Cheng
6
2013
Conservation laws and self-consistent sources for a super KN hierarchy. Zbl 1284.35382
Wang, Hui; Xia, Tiecheng
5
2013
The fractional supertrace identity and its application to the super Ablowitz-Kaup-Newell-Segur hierarchy. Zbl 1298.37060
Wang, Hui; Xia, Tie-Cheng
5
2013
Self-consistent sources and conservation laws for nonlinear integrable couplings of the Li soliton hierarchy. Zbl 1364.37149
Wei, Han-yu; Xia, Tie-cheng
3
2013
The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. Zbl 1298.37062
Yue, Chao; Xia, Tiecheng
2
2013
Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. Zbl 1291.37098
Tao, Sixing; Xia, Tiecheng
1
2013
Conservation laws for a super G-J hierarchy with self-consistent sources. Zbl 1245.37011
Wang, Hui; Xia, Tie-Cheng
6
2012
Nonclassical symmetry of the wave equation with source term. Zbl 1265.35193
Temuer, Chaolu; Eerdun, Buhe; Xia, Tiecheng
3
2012
Binary nonlinearization of super Broer-Kaup-Kupershmidt hierarchy. Zbl 1265.35290
Tao, Sixing; Xia, Tiecheng
1
2012
New integrable couplings of the Tu hierarchy with self-consistent sources. Zbl 1274.35314
Xia, Tiecheng; Zhang, Dengpeng; Temuer, Chaolu
1
2012
The conservation laws and self-consistent sources for a super-Yang hierarchy. Zbl 1268.37084
Xia, Tiecheng; Chaolu, Temuer
1
2012
Variable-coefficient Jacobi elliptic function expansion method for (2+1)-dimensional Nizhnik-Novikov-Vesselov equations. Zbl 1229.35254
Zhang, Sheng; Xia, Tiecheng
5
2011
Super-KN hierarchy and its super-Hamiltonian structure. Zbl 1264.37027
Mo, Si-Xing; Xia, Tie-Cheng; Shi, Hui
5
2011
Two super-integrable hierarchies and their super-Hamiltonian structures. Zbl 1221.37135
Tao, Sixing; Xia, Tiecheng
4
2011
New integrable couplings of generalized Kaup-Newell hierarchy and its Hamiltonian structures. Zbl 1247.37053
Xia, Tie-Cheng; Zang, Gao-Lian; Fan, En. Gui
2
2011
Three nonlinear integrable couplings of the nonlinear Schrödinger equations. Zbl 1225.37076
Wang, Hui; Xia, Tie-cheng
1
2011
Handling the fractional Boussinesq-like equation by the fractional variational iteration method. Zbl 1265.35283
Gu, Jialei; Xia, Tiecheng
1
2011
Exact solutions of (2+1)-dimensional Bogoyavlenskii’s breaking soliton equation with symbolic computation. Zbl 1201.81051
Xia, Tiecheng; Xiong, Shouquan
7
2010
A new integrable couplings of classical-Boussinesq hierarchy with self-consistent sources. Zbl 1221.37125
Ge, Jian-Ya; Xia, Tie-Cheng
2
2010
Exact solutions of \((2 + 1)\)-dimensional Boiti-Leon-Pempinelle equation with \((G^{\prime}/G)\)-expansion method. Zbl 1223.35270
Xiong, Shou-Quan; Xia, Tie-Cheng
2
2010
A new method for constructing soliton solutions to differential-difference equation with symbolic computation. Zbl 1197.35250
Wu, Guo-Cheng; Xia, Tie-Cheng
7
2009
Uniformly constructing exact discrete soliton solutions and periodic solutions to differential-difference equations. Zbl 1189.34123
Wu, Guo-Cheng; Xia, Tie-Cheng
4
2009
Frobenius integrable decompositions for two classes of nonlinear evolution equations with variable coefficients. Zbl 1185.37151
You, Fucai; Xia, Tiecheng; Zhang, Jiao
4
2009
A new Lie algebra and corresponding evolution equations hierarchy. Zbl 1197.37083
Xia, Tiecheng; Ma, Chunzhen
1
2009
A further improved tanh function method exactly solving the \((2+1)\)-dimensional dispersive long wave equations. Zbl 1161.35496
Zhang, Sheng; Xia, Tie-cheng
13
2008
An improved generalized \(F\)-expansion method and its application to the \((2 + 1)\)-dimensional KdV equations. Zbl 1221.35384
Zhang, Sheng; Xia, Tiecheng
10
2008
The integrable couplings of the generalized coupled Burgers hierarchy and its Hamiltonian structures. Zbl 1142.37047
You, Fucai; Xia, Tiecheng
9
2008
A new method for constructing soliton solutions and periodic solutions of nonlinear evolution equations. Zbl 1217.35154
Wu, Guo-Cheng; Xia, Tie-Cheng
7
2008
Decomposition of the generalized KP, cKP and mKP and their exact solutions. Zbl 1220.35136
You, Fucai; Xia, Tiecheng; Chen, Dengyuan
7
2008
Variable-coefficient extended mapping method for nonlinear evolution equations. Zbl 1220.81102
Zhang, Sheng; Xia, Tiecheng
5
2008
A new loop algebra \(\tilde A_5\) and its applications to integrable system. Zbl 1142.37366
You, Fucai; Xia, Tiecheng
2
2008
The multi-component dispersive long wave equation hierarchy, its integrable couplings and their Hamiltonian structures. Zbl 1157.37333
You, Fucai; Xia, Tiecheng
1
2008
A generalized new auxiliary equation method and its applications to nonlinear partial differential equations. Zbl 1197.35008
Zhang, Sheng; Xia, Tiecheng
29
2007
A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik–Novikov–Vesselov equations. Zbl 1105.35320
Zhang, Sheng; Xia, Tie-Cheng
24
2007
A generalized \(F\)-expansion method with symbolic computation exactly solving Broer-Kaup equations. Zbl 1122.65095
Zhang, Sheng; Xia, Tiecheng
9
2007
Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. Zbl 1136.81385
You, Fucai; Xia, Tiecheng
4
2007
A new loop algebra and its application to the multi-component S-mKdV hierarchy. Zbl 1130.37034
Xia, Tiecheng; Jiao, Zhang; You, Fucai
3
2007
A generalized \(F\)-expansion method and new exact solutions of Konopelchenko–Dubrovsky equations. Zbl 1111.35318
Zhang, Sheng; Xia, Tiecheng
27
2006
A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1160.37404
Zhang, Sheng; Xia, Tiecheng
19
2006
The multi-component TD hierarchy and its multi-component integrable coupling system with five arbitrary functions. Zbl 1102.37044
Yu, Fajun; Xia, Tiecheng; Zhang, Hongqing
15
2006
Further improved extended Fan sub-equation method and new exact solutions of the (2 + 1)-dimensional Broer-Kaup-Kupershmidt equations. Zbl 1117.65143
Zhang, Sheng; Xia, Tiecheng
13
2006
Symbolic computation and new families of exact non-travelling wave solutions to \((3 + 1)\)-dimensional Kadomstev-Petviashvili equation. Zbl 1155.65385
Zhang, Sheng; Xia, Tiecheng
9
2006
A generalized MKdV hierarchy, tri-Hamiltonian structure, higher-order binary constrained flows and its integrable couplings system. Zbl 1099.37052
Xia, Tiecheng; You, Fucai
6
2006
A generalized cubic Volterra lattice hierarchy and its integrable couplings system. Zbl 1083.37052
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
5
2006
The multi-component NLS-mKdV hierarchy and its integrable couplings system. Zbl 1129.35448
Zhoa, Wenying; Xia, Tiecheng
1
2006
Darboux transformation and soliton-like solutions of nonlinear Schrödinger equations. Zbl 1078.35118
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
21
2005
The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103
Xia, Tiecheng; Fan, Engui
15
2005
The multi-component generalized Wadati-Konono-Ichikawa (WKI) hierarchy and its multi-component integrable couplings system with two arbitrary functions. Zbl 1088.37038
Xia, Tiecheng; Yu, Fajun; Chen, Dengyuan
10
2005
A new Lax integrable hierarchy, \(N\) Hamiltonian structure and its integrable couplings system. Zbl 1071.37047
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
8
2005
The multi-component TA hierarchy and its multi-component integrable couplings system with six arbitrary functions. Zbl 1093.37028
Xia, Tiecheng; You, Fucai
5
2005
Two types of new Lie algebras and corresponding hierarchies of evolution equations. Zbl 1135.37332
Xia, Tiecheng; Chen, Xiaohong; Chen, Dengyuan
4
2005
A generalized AKNS hierarchy and its bi-Hamiltonian structures. Zbl 1071.37048
Xia, Tiecheng; You, Fucai; Chen, Dengyuan
4
2005
The multi-component classical-Boussinesq hierarchy of soliton equations and its multi-component integrable coupling system. Zbl 1070.35045
Xia, Tiecheng; Yu, Fa-Jun; Chen, Dengyuan
2
2005
The multi-component Yang hierarchy and its multi-component integrable coupling system with two arbitrary functions. Zbl 1064.37056
Xia, Tie-Cheng; Yu, Fa-Jun; Chen, Deng-Yuan
1
2005
New families of exact soliton-like solutions and dromion solutions to the \((2+1)\)-dimensional higher-order Broer-Kaup equations. Zbl 1070.35078
Xia, Tiecheng; Chen, Dengyuan
1
2005
...and 9 more Documents
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Cited by 662 Authors

43 Xia, Tie-Cheng
26 Ma, Wen-Xiu
26 Zhang, Sheng
23 Dong, Huanhe
18 Yu, Fajun
13 Hu, Beibei
12 Zayed, Elsayed M. E.
10 Zhang, Ning
9 Fan, Engui
9 Zhang, Yi
8 Gepreel, Khaled A.
8 Wazwaz, Abdul-Majid Abdul-Rahman
8 Zhang, Ling
8 Zhang, Yong
7 Xu, Bo
7 Zhang, Hongqing
6 Biswas, Anjan
6 Chen, Yong
6 Geng, Xianguo
6 Li, Li
6 Liu, Wenjun J.
6 Shen, Shoufeng
6 Wei, Hanyu
6 You, Fucai
6 Zhou, Qin
5 Ali Akbar, M.
5 Bekir, Ahmet
5 Gao, Yitian
5 Khalique, Chaudry Masood
5 Kumar, Mukesh
5 Li, Xinyue
5 Lü, Xing
5 Seadawy, Aly R.
5 Tian, Shoufu
5 Yang, Hongwei
5 Zhang, Yufeng
5 Zhao, Qiulan
5 Zhaqilao, Z.
4 Abazari, Reza
4 Alurrfi, Khaled A. E.
4 Chaolu, Temuer
4 Dai, Zhengde
4 He, Baiying
4 Ji, Jie
4 Kang, Zhouzheng
4 Li, Chunxia
4 Luo, Lin
4 Mirzazadeh, Mohammad
4 Wang, Dengshan
4 Wang, Xiangrong
4 Wang, Yunhu
4 Yin, Baoshu
4 Zhang, Xiaoen
3 Abdelaziz, Mahmoud A. M.
3 Abdeljabbar, Alrazi
3 Ali, Safdar
3 Băleanu, Dumitru I.
3 Chen, Liangyun
3 Deng, Aiping
3 Gao, Liang
3 Guo, Handong
3 Hong, Siyu
3 Jin, Yongyang
3 Kumar, Raj
3 Li, Chuanzhong
3 Li, Donglong
3 Li, Jian
3 Lin, Ji
3 Liu, Jianguo
3 Liu, Zeyu
3 Liu, Zhengrong
3 Ma, Hongcai
3 Manafian Heris, Jalil
3 Nofal, Taher A.
3 Sun, Zhiyuan
3 Taghizadeh, Nasir
3 Tang, Yaning
3 Triki, Houria
3 Wang, Hui
3 Wang, Lei
3 Wen, Xiaoyong
3 Xin, Xiangpeng
3 Ye, Rusuo
3 Yu, Shuimeng
3 Zhang, Tiantian
3 Zhi, Hongyan
2 Ai, Guo-Ping
2 Ali, Ahmad Tawfik
2 Ali, Norhashidah Hj. Mohd.
2 Aslan, İsmail
2 Baskonus, Haci Mehmet
2 Bian, Chunquan
2 Chang, Hui
2 Chen, Dengyuan
2 Chen, Sijia
2 Chen, Xiaotong
2 Cheng, Li
2 Dai, Chaoqing
2 Du, Xia-Xia
2 El-Kadri, Alaa
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Cited in 95 Serials

57 Applied Mathematics and Computation
36 Nonlinear Dynamics
29 Communications in Nonlinear Science and Numerical Simulation
21 Chaos, Solitons and Fractals
20 Applied Mathematics Letters
19 Computers & Mathematics with Applications
17 Abstract and Applied Analysis
14 Advances in Mathematical Physics
13 Journal of Mathematical Physics
11 Mathematical Problems in Engineering
9 Journal of Geometry and Physics
9 International Journal of Nonlinear Sciences and Numerical Simulation
9 Analysis and Mathematical Physics
8 Advances in Difference Equations
8 Communications in Theoretical Physics
7 International Journal of Modern Physics B
7 Wave Motion
7 International Journal of Computer Mathematics
7 Journal of Applied Mathematics
7 AIMS Mathematics
6 Mathematical Methods in the Applied Sciences
6 International Journal of Applied and Computational Mathematics
5 Complexity
5 Discrete Dynamics in Nature and Society
4 Modern Physics Letters B
4 Physics Letters. A
4 Theoretical and Mathematical Physics
4 Journal of Computational and Applied Mathematics
4 Physica D
4 Fractals
4 Nonlinear Analysis. Real World Applications
3 Journal of Mathematical Analysis and Applications
3 Mathematics and Computers in Simulation
3 Chinese Annals of Mathematics. Series B
3 Acta Mathematicae Applicatae Sinica. English Series
3 Chaos
3 Journal of Nonlinear Mathematical Physics
3 Waves in Random and Complex Media
2 Applicable Analysis
2 International Journal of Theoretical Physics
2 Reports on Mathematical Physics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Applied Mathematics and Mechanics. (English Edition)
2 Science in China. Series A
2 Computational Mathematics and Modeling
2 Applied Mathematical Modelling
2 Computational and Applied Mathematics
2 Journal of the Egyptian Mathematical Society
2 Journal of Shanghai University
2 Journal of Mathematical Physics, Analysis, Geometry
2 Complex Analysis and Operator Theory
2 Frontiers of Mathematics in China
2 Journal of Applied Analysis and Computation
2 Journal of Function Spaces
2 AMM. Applied Mathematics and Mechanics. (English Edition)
2 Cogent Mathematics
1 International Journal of Modern Physics A
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1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
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