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Author ID: fan.engui Recent zbMATH articles by "Fan, Engui"
Published as: Fan, Engui; Fan, En-Gui; Fan, En Gui; Fan, E. G.; Fan, En-gui; Fan, EnGui; Fan, E.; Fan, En. Gui; Fan, Enguiu; Fan, E.-G.
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Serials

30 Physics Letters. A
16 Journal of Mathematical Physics
14 Chaos, Solitons and Fractals
13 Communications in Theoretical Physics
11 Journal of Differential Equations
9 Studies in Applied Mathematics
9 Applied Mathematics Letters
9 Journal of Inner Mongolia University
7 Journal of Mathematical Analysis and Applications
6 Physica D
6 Journal of Nonlinear Mathematical Physics
6 Acta Mathematica Scientia. Series B. (English Edition)
5 Journal of Physics A: Mathematical and General
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Journal of Geometry and Physics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Applied Mathematics and Mechanics. (English Edition)
3 Chinese Annals of Mathematics. Series B
3 Acta Physica Sinica
3 Mathematical Physics, Analysis and Geometry
2 Modern Physics Letters B
2 International Journal of Modern Physics B
2 Computers & Mathematics with Applications
2 Reports on Mathematical Physics
2 Theoretical and Mathematical Physics
2 Advances in Mathematics
2 Applied Mathematics and Computation
2 Acta Mathematicae Applicatae Sinica. English Series
2 Journal of Nonlinear Science
2 Acta Mathematica Scientia. Series A. (Chinese Edition)
2 Journal of the Physical Society of Japan
2 Journal of Physics A: Mathematical and Theoretical
2 Random Matrices: Theory and Applications
1 International Journal of Modern Physics A
1 Communications in Mathematical Physics
1 Computer Physics Communications
1 IMA Journal of Applied Mathematics
1 International Journal of Theoretical Physics
1 Nuclear Physics. B
1 Physica A
1 Zeitschrift fuer Naturforschung, A: Physical Sciences
1 Journal of Mathematical Research & Exposition
1 Journal of Dalian University of Technology
1 Science in China. Series A
1 Journal of Natural Science of Heilongjiang University
1 SIAM Journal on Mathematical Analysis
1 Applied Mathematics. Series B (English Edition)
1 Nonlinear Dynamics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Nonlinear Analysis. Real World Applications
1 International Journal of Applied Mathematics and Applications
1 Pacific Journal of Applied Mathematics
1 East Asian Journal on Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

169 Publications have been cited 3,284 times in 2,052 Documents Cited by Year
Extended tanh-function method and its applications to nonlinear equations. Zbl 1167.35331
Fan, Engui
522
2000
A note on the homogeneous balance method. Zbl 1125.35308
Fan, Engui; Zhang, Hongqing
178
1998
Linear superposition principle applying to Hirota bilinear equations. Zbl 1217.35164
Ma, Wen-Xiu; Fan, Engui
170
2011
Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136
Fan, Engui
93
2003
Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons. Zbl 1317.35169
Xu, Jian; Fan, Engui
83
2015
Applications of the Jacobi elliptic function method to special-type nonlinear equations. Zbl 1005.35063
Fan, Engui; Zhang, Jian
83
2002
Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation. Zbl 0984.37092
Fan, E.
69
2001
Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation. Zbl 0960.35093
Fan, Engui
66
2000
Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method. Zbl 1039.35029
Fan, Engui
66
2002
Two new applications of the homogeneous balance method. Zbl 0947.35012
Fan, Engui
65
2000
The unified transform method for the Sasa-Satsuma equation on the half-line. Zbl 1348.35249
Xu, Jian; Fan, Engui
60
2013
An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations. Zbl 1167.35324
Fan, Engui
57
2003
Integrable evolution systems based on Gerdjikov-Ivanov equations, bi-Hamiltonian structure, finite-dimensional integrable systems and \(N\)-fold Darboux transformation. Zbl 0986.37059
Fan, Engui
56
2000
A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations. Zbl 1063.37060
Fan, Engui
48
2001
Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik-Novikov-Veselov equation. Zbl 1165.35044
Fan, Engui
47
2009
The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials. Zbl 1241.35176
Fan, Engui
46
2011
Traveling wave solutions for nonlinear equations using symbolic computation. Zbl 1002.35107
Fan, En-Gui
45
2002
Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure. Zbl 0970.37054
Fan, Engui
43
2001
New exact solutions to a solutions to a system of coupled KdV equations. Zbl 0947.35126
Fan, Engui; Zhang, Hongqing
42
1998
A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem. Zbl 0977.37039
Fan, Engui
41
2001
Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations. Zbl 0981.35064
Fan, Engui
38
2002
Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value. Zbl 1274.35364
Xu, Jian; Fan, Engui; Chen, Yong
37
2013
A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Zbl 1031.76008
Fan, Enguiu; Hon, Y. C.
35
2003
Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128
Fan, Engui; Hon, Y. C.
34
2003
A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. Zbl 1151.82320
Hon, Y. C.; Fan, Engui; Qin, Zhenyun
31
2008
Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107
Fan, Engui; Hon, Y. C.
31
2012
The three-wave equation on the half-line. Zbl 1396.31001
Xu, Jian; Fan, Engui
29
2014
A simple method for generating integrable hierarchies with multi-potential functions. Zbl 1092.37044
Fan, Engui; Zhang, Yufeng
28
2005
Long-time asymptotic behavior for the complex short pulse equation. Zbl 1447.35066
Xu, Jian; Fan, Engui
25
2020
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
23
2018
A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations. Zbl 1049.35167
Darwish, A.; Fan, E. G.
22
2004
A Riemann-Hilbert approach to the Harry-Dym equation on the line. Zbl 1344.35076
Xiao, Yu; Fan, Engui
22
2016
Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation. Zbl 1314.35138
Fan, Engui; Chow, Kwok Wing
22
2011
Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems. Zbl 0997.34007
Fan, Engui
22
2002
Long-time asymptotic for the Hirota equation via nonlinear steepest descent method. Zbl 1330.35280
Huang, Lin; Xu, Jian; Fan, En-gui
22
2015
Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation. Zbl 1062.37066
Dai, H. H.; Fan, E. G.
21
2004
The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value. Zbl 1383.35137
Zhu, Qiaozhen; Xu, Jian; Fan, Engui
21
2018
\( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation. Zbl 1451.35191
Luo, Jinghua; Fan, Engui
21
2020
A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126
Fan, Engui; Zhang, Jian; Hon, Benny Y. C.
20
2001
Initial-boundary value problem for integrable nonlinear evolution equation with \(3\times3\) Lax pairs on the interval. Zbl 1339.35205
Xu, Jian; Fan, Engui
20
2016
Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1448.35439
Zhang, Zechuan; Fan, Engui
20
2020
Soliton resolution for the short-pulse equation. Zbl 1459.35328
Yang, Yiling; Fan, Engui
19
2021
Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems. Zbl 1098.35559
Fan, Engui; Hon, Benny Y. C.
18
2002
New bilinear Bäcklund transformation and Lax pair for the supersymmetric two-boson equation. Zbl 1247.37078
Fan, E.
18
2011
Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time. Zbl 1483.35175
Cheng, Qiaoyuan; Fan, Engui
18
2022
Soliton solutions for the new complex version of a coupled KdV equation and a coupled MKdV equation. Zbl 0969.35543
Fan, Engui; Chao, Lu
17
2001
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. Zbl 1491.35396
Yang, Yiling; Fan, Engui
17
2022
A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies. Zbl 1221.37122
Fan, Engui; Dai, Huihui
16
2008
Algebro-geometric solutions for the Degasperis-Procesi hierarchy. Zbl 1291.35286
Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun
16
2013
Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. Zbl 1507.35132
Yang, Yiling; Fan, Engui
16
2021
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
A few expanding Lie algebras of the Lie algebra \(A_1\) and applications. Zbl 1193.17015
Zhang, Yufeng; Fan, Engui; Tam, Honwah
15
2006
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
15
2020
A direct approach with computerized symbolic computation for finding a series of traveling waves to nonlinear equations. Zbl 1196.35182
Fan, Engui; Dai, H. H.
15
2003
A new generalized expansion method and its application in finding explicit exact solutions for a generalized variable coefficients KdV equation. Zbl 1161.35493
Sabry, R.; Zahran, M. A.; Fan, Engui
14
2004
A series of new exact solutions for a complex coupled KdV system. Zbl 1068.35130
Hon, Y. C.; Fan, E. G.
14
2004
Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy. Zbl 1287.35081
Hou, Yu; Fan, Engui; Zhao, Peng
14
2013
Methods of judging shape of solitary wave and solution formulae for some evolution equations with nonlinear terms of high order. Zbl 1040.35106
Zhang, Weiguo; Chang, Qianshun; Fan, Engui
13
2003
Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156
Hon, Y. C.; Fan, Engui
13
2005
A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation. Zbl 1324.35175
Xu, Jian; Fan, Engui
13
2014
Long-time asymptotics for the nonlocal mKdV equation. Zbl 1452.35169
He, Feng-Jing; Fan, En-Gui; Xu, Jian
13
2019
Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy. Zbl 1195.37044
Zhang, Yufeng; Fan, Engui
13
2006
Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles. Zbl 1380.60015
Lyu, Shulin; Chen, Yang; Fan, Engui
12
2018
A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480
Hon, Y. C.; Fan, E. G.
12
2009
A new algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed KdV equation. Zbl 1037.76049
Fan, Engui
12
2003
A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies. Zbl 1161.81359
Fan, Engui; Yang, Zonghang
12
2009
On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. Zbl 1236.81114
Fan, E. G.; Hon, Y. C.
12
2010
The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy. Zbl 1386.14131
Hou, Yu; Fan, Engui; Qiao, Zhijun
12
2017
On the periodic solutions for both nonlinear differential and difference equations: a unified approach. Zbl 1238.35060
Fan, Engui; Chow, Kwok Wing
11
2010
Solitary wave and doubly periodic wave solutions for the Kersten-Krasil’shchik coupled KdV-mKdV system. Zbl 1068.35131
Hon, Y. C.; Fan, E. G.
11
2004
An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation. Zbl 1076.37058
Hon, Y. C.; Fan, E. G.
11
2005
Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background. Zbl 1470.35302
Zhang, Zechuan; Fan, Engui
11
2021
Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy. Zbl 1420.37097
Zhao, Peng; Fan, Engui; Hou, Yu
11
2013
A new approach to Bäcklund transformations of nonlinear evolution equations. Zbl 0923.35157
Fan, Engui; Zhang, Hongqing
10
1998
Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations. Zbl 1236.37041
Zhang, Yufeng; Fan, Engui; Zhang, Yongqing
10
2006
Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions. Zbl 1235.35242
Fan, Engui
10
2010
An approach for generating enlarging integrable systems. Zbl 1203.37114
Zhang, Yufeng; Fan, Engui
10
2007
Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions. Zbl 1497.35416
Zhao, Yi; Fan, Engui
10
2021
Using symbolic computation to exactly solve a new coupled MKdV system. Zbl 0995.35057
Fan, Engui
9
2002
\(N\)-fold Darboux transformation and soliton solutions for a nonlinear Dirac system. Zbl 1062.37089
Fan, E. G.
9
2005
On doubly periodic standing wave solutions of the coupled Higgs field equation. Zbl 1241.35165
Fan, E.-G.; Chow, K.-W.; Li, J.-H.
9
2012
Initial-boundary value problem for two-component Gerdjikov-Ivanov equation with \(3\times 3\) Lax pair on half-line. Zbl 1377.35235
Zhu, Qiao-Zhen; Fan, En-Gui; Xu, Jian
9
2017
Perturbed Hankel determinant, correlation functions and Painlevé equations. Zbl 1338.33020
Chen, Min; Chen, Yang; Fan, Engui
9
2016
Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. Zbl 1312.35156
Zhang, Yufeng; Fan, Engui
9
2010
Characteristic numbers of matrix Lie algebras. Zbl 1392.17028
Zhang, Yu-Feng; Fan, En-Gui
9
2008
Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. Zbl 1202.81035
Fan, E. G.; Hon, Y. C.
9
2010
Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions. Zbl 1486.35368
Xiao, Yu; Fan, Engui; Liu, Pan
9
2021
Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1479.35809
Luo, Jinghua; Fan, Engui
9
2021
Vector loop algebra and its applications to integrable system. Zbl 1106.37045
Fan, Engui; Zhang, Yufeng
8
2006
The algebraic structure of zero curvature representations associated with integrable couplings. Zbl 1156.81024
Luo, Lin; Ma, Wen-Xiu; Fan, En-Gui
8
2008
Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions. Zbl 1489.35175
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie; Fan, Engui
8
2022
The homogeneous balance method for solving nonlinear soliton equations. Zbl 1202.35187
Fan, En Gui; Zhang, Hong Qing
8
1998
Peakon weak solutions for the rotation-two-component Camassa-Holm system. Zbl 1423.35083
Fan, Engui; Yuen, Manwai
8
2019
The algebraic structure of discrete zero curvature equations associated with integrable couplings and application to enlarged Volterra systems. Zbl 1181.35217
Luo, Lin; Fan, EnGui
7
2009
Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127
Hon, Y. C.; Fan, Engui
7
2012
The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system. Zbl 1377.35055
Chen, Yang; Fan, Engui; Yuen, Manwai
7
2016
\(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach. Zbl 1499.35566
Wen, Lili; Zhang, Ning; Fan, Engui
7
2020
Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval. Zbl 1420.35391
Zhu, Qiaozhen; Xu, Jian; Fan, Engui
7
2018
A lattice hierarchy and its continuous limits. Zbl 1225.82010
Fan, Engui
6
2008
Soliton solutions and doubly periodic wave solutions for a new generalized Hirota-Satsuma coupled system. Zbl 1038.35092
Hon, Y. C.; Fan, E. G.
6
2003
The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions. Zbl 07732081
Wang, Zhaoyu; Fan, Engui
4
2023
Soliton resolution and large time behavior of solutions to the Cauchy problem for the Novikov equation with a nonzero background. Zbl 1516.35363
Yang, Yiling; Fan, Engui
3
2023
Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions. Zbl 07778787
Xu, Taiyang; Fan, Engui
1
2023
On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in soliton-less regions. Zbl 1522.35436
Xu, Taiyang; Zhang, Zechuan; Fan, Engui
1
2023
Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions. Zbl 1506.35195
Zhou, Xuan; Fan, Engui
1
2023
Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time. Zbl 1483.35175
Cheng, Qiaoyuan; Fan, Engui
18
2022
On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. Zbl 1491.35396
Yang, Yiling; Fan, Engui
17
2022
Soliton resolution for the complex short pulse equation with weighted Sobolev initial data in space-time solitonic regions. Zbl 1489.35175
Li, Zhi-Qiang; Tian, Shou-Fu; Yang, Jin-Jie; Fan, Engui
8
2022
Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region. Zbl 1496.35371
Wang, Zhaoyu; Fan, Engui
6
2022
Long time asymptotics for the nonlocal mKdV equation with finite density initial data. Zbl 1501.35358
Zhou, Xuan; Fan, Engui
4
2022
Critical edge behavior in the singularly perturbed Pollaczek-Jacobi type unitary ensemble. Zbl 1526.33003
Wang, Zhaoyu; Fan, Engui
3
2022
Multiple-high-order pole solutions for the NLS equation with quartic terms. Zbl 1490.35460
Wen, Li-Li; Fan, En-Gui; Chen, Yong
2
2022
Riemann-Hilbert approach for discrete sine-Gordon equation with simple and double poles. Zbl 07776521
Chen, Meisen; Fan, Engui
1
2022
\( \overline{\partial} \)-dressing method for the nonlocal mKdV equation. Zbl 1489.35241
Luo, Jinghua; Fan, Engui
1
2022
Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. Zbl 1493.35087
Xun, Weikang; Fan, Engui
1
2022
Long-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data. Zbl 1503.35202
Yang, Yiling; Fan, Engui
1
2022
The asymptotic stability of solitons for the focusing mKdV equation with weak weighted Sobolev initial data. Zbl 1508.35126
Liu, Anran; Fan, Engui
1
2022
Soliton resolution for the short-pulse equation. Zbl 1459.35328
Yang, Yiling; Fan, Engui
19
2021
Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. Zbl 1507.35132
Yang, Yiling; Fan, Engui
16
2021
Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background. Zbl 1470.35302
Zhang, Zechuan; Fan, Engui
11
2021
Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions. Zbl 1497.35416
Zhao, Yi; Fan, Engui
10
2021
Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions. Zbl 1486.35368
Xiao, Yu; Fan, Engui; Liu, Pan
9
2021
Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1479.35809
Luo, Jinghua; Fan, Engui
9
2021
A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation. Zbl 1473.35511
Luo, Jinghua; Fan, Engui
6
2021
Rogue wave and multi-pole solutions for the focusing Kundu-Eckhaus equation with nonzero background via Riemann-Hilbert problem method. Zbl 1517.35205
Guo, Ning; Xu, Jian; Wen, Lili; Fan, Engui
5
2021
The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system. Zbl 1462.35370
Yao, Yuqin; Huang, Yehui; Fan, Engui
3
2021
Riemann-Hilbert problems and soliton solutions for the complex modified short pulse equation. Zbl 07458544
Zhou, Xuan; Fan, Engui
2
2021
Long-time asymptotic behavior of a mixed Schrödinger equation with weighted Sobolev initial data. Zbl 1498.35494
Cheng, Qiaoyuan; Yang, Yiling; Fan, Engui
1
2021
Long-time asymptotic behavior for the complex short pulse equation. Zbl 1447.35066
Xu, Jian; Fan, Engui
25
2020
\( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation. Zbl 1451.35191
Luo, Jinghua; Fan, Engui
21
2020
Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1448.35439
Zhang, Zechuan; Fan, Engui
20
2020
Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161
Zhao, Peng; Fan, Engui
15
2020
\(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach. Zbl 1499.35566
Wen, Lili; Zhang, Ning; Fan, Engui
7
2020
Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data. Zbl 1442.35414
Cheng, Qiaoyuan; Fan, Engui
4
2020
Long-time asymptotic behavior for the discrete defocusing mKdV equation. Zbl 1434.35152
Chen, Meisen; Fan, Engui
1
2020
Long-time asymptotics for the nonlocal mKdV equation. Zbl 1452.35169
He, Feng-Jing; Fan, En-Gui; Xu, Jian
13
2019
Peakon weak solutions for the rotation-two-component Camassa-Holm system. Zbl 1423.35083
Fan, Engui; Yuen, Manwai
8
2019
The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025
Chen, Min; Chen, Yang; Fan, En-Gui
5
2019
Long time behavior and soliton solution for the Harry Dym equation. Zbl 1426.35087
Xiao, Yu; Fan, Engui
4
2019
Critical edge behavior in the perturbed Laguerre unitary ensemble and the Painlevé V transcendent. Zbl 1451.34110
Chen, Min; Chen, Yang; Fan, En-Gui
1
2019
On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy. Zbl 1423.35018
Zhao, Peng; Fan, Engui
1
2019
Whitham hierarchy and generalized Picard-Fuchs operators in the \(\mathcal{N}=2\) susy Yang-Mills theory for classical gauge groups. Zbl 1419.81031
Dai, Jialiang; Fan, Engui
1
2019
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
23
2018
The Riemann-Hilbert problem and long-time asymptotics for the Kundu-Eckhaus equation with decaying initial value. Zbl 1383.35137
Zhu, Qiaozhen; Xu, Jian; Fan, Engui
21
2018
Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles. Zbl 1380.60015
Lyu, Shulin; Chen, Yang; Fan, Engui
12
2018
Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval. Zbl 1420.35391
Zhu, Qiaozhen; Xu, Jian; Fan, Engui
7
2018
The initial-boundary value problem for the Sasa-Satsuma equation on a finite interval via the Fokas method. Zbl 1414.35213
Xu, Jian; Zhu, Qiaozhen; Fan, Engui
4
2018
The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy. Zbl 1386.14131
Hou, Yu; Fan, Engui; Qiao, Zhijun
12
2017
Initial-boundary value problem for two-component Gerdjikov-Ivanov equation with \(3\times 3\) Lax pair on half-line. Zbl 1377.35235
Zhu, Qiao-Zhen; Fan, En-Gui; Xu, Jian
9
2017
The Fokas-Lenells equation on the finite interval. Zbl 1399.35336
Xiao, Yu; Fan, Engui; Xu, Jian
3
2017
The analytical solutions for the \(N\)-dimensional damped compressible Euler equations. Zbl 1364.35249
Chow, Kwokwing; Fan, Engui; Yuen, Manwai
3
2017
Explicitly self-similar solutions for the Euler/Navier-Stokes-Korteweg equations in \(R^N\). Zbl 1360.35169
Chen, Yang; Fan, Engui; Yuen, Manwai
2
2017
The GLM representation of the global relation for the two-component nonlinear Schrödinger equation on the interval. Zbl 1361.35169
Xu, Jian; Fan, Engui
2
2017
A Riemann-Hilbert approach to the Harry-Dym equation on the line. Zbl 1344.35076
Xiao, Yu; Fan, Engui
22
2016
Initial-boundary value problem for integrable nonlinear evolution equation with \(3\times3\) Lax pairs on the interval. Zbl 1339.35205
Xu, Jian; Fan, Engui
20
2016
Perturbed Hankel determinant, correlation functions and Painlevé equations. Zbl 1338.33020
Chen, Min; Chen, Yang; Fan, Engui
9
2016
The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system. Zbl 1377.35055
Chen, Yang; Fan, Engui; Yuen, Manwai
7
2016
The initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. Zbl 1413.35365
Xu, Jian; Fan, Engui
6
2016
Quasiperiodic solutions of the Kadomtsev-Petviashvili equation via the multidimensional Baker-Akhiezer function generated by the Broer-Kaup hierarchy. Zbl 1360.37167
Zhao, Peng; Fan, Engui; Luo, Lin
3
2016
Large \(\mathrm{N}\)-limit for random matrices with external source with three distinct eigenvalues. Zbl 1381.60023
Xu, Jian; Fan, Engui; Chen, Yang
2
2016
Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons. Zbl 1317.35169
Xu, Jian; Fan, Engui
83
2015
Long-time asymptotic for the Hirota equation via nonlinear steepest descent method. Zbl 1330.35280
Huang, Lin; Xu, Jian; Fan, En-gui
22
2015
The Cartesian vector solutions for the \(N\)-dimensional compressible Euler equations. Zbl 1309.35063
An, Hongli; Fan, Engui; Yuen, Manwai
5
2015
Algebro-geometric solutions for the derivative Burgers hierarchy. Zbl 1312.37040
Hou, Yu; Fan, Engui; Qiao, Zhijun; Wang, Zhong
5
2015
Higher order asymptotics for the Hirota equation via Deift-Zhou higher order theory. Zbl 1303.35052
Huang, Lin; Xu, Jian; Fan, En-gui
4
2015
A unified construction for the algebro-geometric quasiperiodic solutions of the Lotka-Volterra and relativistic Lotka-Volterra hierarchy. Zbl 1323.37041
Zhao, Peng; Fan, Engui
1
2015
The three-wave equation on the half-line. Zbl 1396.31001
Xu, Jian; Fan, Engui
29
2014
A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation. Zbl 1324.35175
Xu, Jian; Fan, Engui
13
2014
Algebro-geometric solutions for the Hunter-Saxton hierarchy. Zbl 1300.35125
Hou, Yu; Fan, Engui; Zhao, Peng
6
2014
Similarity reductions and new nonlinear exact solutions for the 2D incompressible Euler equations. Zbl 1331.35268
Fan, Engui; Yuen, Manwai
2
2014
Algebro-geometric solutions for the two-component Camassa-Holm Dym hierarchy. Zbl 1349.37066
Hou, Yu; Fan, Engui
1
2014
The unified transform method for the Sasa-Satsuma equation on the half-line. Zbl 1348.35249
Xu, Jian; Fan, Engui
60
2013
Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value. Zbl 1274.35364
Xu, Jian; Fan, Engui; Chen, Yong
37
2013
Algebro-geometric solutions for the Degasperis-Procesi hierarchy. Zbl 1291.35286
Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun
16
2013
Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy. Zbl 1287.35081
Hou, Yu; Fan, Engui; Zhao, Peng
14
2013
Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy. Zbl 1420.37097
Zhao, Peng; Fan, Engui; Hou, Yu
11
2013
Algebro-geometric solutions for the Ruijsenaars-Toda hierarchy. Zbl 1341.37043
Zhao, Peng; Fan, Engui; Hou, Yu
3
2013
Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107
Fan, Engui; Hon, Y. C.
31
2012
On doubly periodic standing wave solutions of the coupled Higgs field equation. Zbl 1241.35165
Fan, E.-G.; Chow, K.-W.; Li, J.-H.
9
2012
Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127
Hon, Y. C.; Fan, Engui
7
2012
On multi-component Ermakov systems in a two-layer fluid: a variational approach. Zbl 1308.76226
An, Hongli; Fan, Engui; Zhu, Haixing
1
2012
Linear superposition principle applying to Hirota bilinear equations. Zbl 1217.35164
Ma, Wen-Xiu; Fan, Engui
170
2011
The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials. Zbl 1241.35176
Fan, Engui
46
2011
Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation. Zbl 1314.35138
Fan, Engui; Chow, Kwok Wing
22
2011
New bilinear Bäcklund transformation and Lax pair for the supersymmetric two-boson equation. Zbl 1247.37078
Fan, E.
18
2011
An algebraic structure of zero curvature representations associated with coupled integrable couplings and applications to \({\tau}\)-symmetry algebras. Zbl 1260.37035
Luo, Lin; Ma, Wen-Xiu; Fan, Engui
3
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
Super quasiperiodic wave solutions and asymptotic analysis for \(\mathcal N=1\) supersymmetric KdV-type equations. Zbl 1274.35326
Hon, Y. C.; Fan, Engui
2
2011
Quasi-periodic waves of the \(\mathcal N=1\) supersymmetric modified Korteweg-de Vries equation. Zbl 1202.37085
Luo, Lin; Fan, Engui
2
2011
On a direct procedure for the quasi-periodic wave solutions of the supersymmetric Ito’s equation. Zbl 1236.81114
Fan, E. G.; Hon, Y. C.
12
2010
On the periodic solutions for both nonlinear differential and difference equations: a unified approach. Zbl 1238.35060
Fan, Engui; Chow, Kwok Wing
11
2010
Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions. Zbl 1235.35242
Fan, Engui
10
2010
Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. Zbl 1312.35156
Zhang, Yufeng; Fan, Engui
9
2010
Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. Zbl 1202.81035
Fan, E. G.; Hon, Y. C.
9
2010
Bilinear approach to the quasi-periodic wave solutions of modified Nizhnik-Novikov-Vesselov equation in (2+1) dimensions. Zbl 1237.35140
Luo, Lin; Fan, Engui
3
2010
Isospectral and nonisospectral lattice hierarchies associated with a discrete spectral problem and their infinitely many conservation laws. Zbl 1221.39006
Luo, Lin; Fan, En-Gui
1
2010
Variable separation and algebraic-geometric solutions of modified Toda lattice equation. Zbl 1201.37098
Luo, Lin; Fan, Engui
1
2010
Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik-Novikov-Veselov equation. Zbl 1165.35044
Fan, Engui
47
2009
A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480
Hon, Y. C.; Fan, E. G.
12
2009
A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies. Zbl 1161.81359
Fan, Engui; Yang, Zonghang
12
2009
...and 69 more Documents
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Cited by 2,070 Authors

105 Fan, Engui
83 Zhang, Yufeng
79 Ma, Wen-Xiu
63 Zhang, Hongqing
59 Tian, Shoufu
48 Chen, Yong
41 Xia, Tie-Cheng
39 Dong, Huanhe
36 Bekir, Ahmet
29 Zayed, Elsayed M. E.
26 Zhang, Sheng
24 Geng, Xianguo
24 Zhang, Tiantian
22 Yu, Fajun
21 Gao, Yitian
21 Lü, Xing
21 Xu, Jian
21 Zhang, Yi
18 Biswas, Anjan
17 Tam, Hon-Wah
17 Wazwaz, Abdul-Majid Abdul-Rahman
16 Hu, Beibei
16 Khalique, Chaudry Masood
16 Li, Biao
16 Wen, Xiaoyong
15 He, Jingsong
15 Hon, Yiu-Chung
15 Yan, Zhenya
15 Zhang, Huiqun
14 Tian, Bo
14 Yang, Jinjie
13 Chen, Yang
13 Guo, Boling
13 Kudryashov, Nikolaĭ Alekseevich
13 Liu, Nan
13 Manafian Heris, Jalil
13 Wang, Qi
13 Wang, Xiubin
13 Zhang, Weiguo
12 Gepreel, Khaled A.
12 Inc, Mustafa
12 Li, Jibin
12 Zhang, Ling
12 Zhao, Zhonglong
11 Han, Bo
11 Kaya, Doǧan
11 Li, Zhiqiang
11 Luo, Lin
11 Wang, Yunhu
11 Yao, Yuqin
11 Yuan, Wenjun
10 Ali Akbar, M.
10 Feng, Binlu
10 Ganji, Davood Domiri
10 Shang, Yadong
10 Song, Lina
10 Tang, Yaning
10 Wang, Dengshan
10 Wang, Haifeng
10 Wang, Kedong
10 Yang, Hongwei
10 Yıldırım, Ahmet
10 Zhao, Peng
9 Chen, Mingming
9 Li, Zhu
9 Peng, Weiqi
9 Qiu, Deqin
9 Shen, Shoufeng
9 Wang, Hui
9 Wang, Lei
9 Zhang, Jianbing
9 Zhang, Ning
8 Feng, Yang
8 Hou, Yu
8 Huang, Yong
8 Liu, Jianguo
8 Liu, Wenjun J.
8 Liu, Zhengrong
8 Lu, Dianchen
8 Mirzazadeh, Mohammad
8 Qiao, Zhijun
8 Ray, Sumita Saha
8 Rui, Wenjuan
8 Saha Ray, Santanu
8 Seadawy, Aly R.
8 Tian, Lixin
8 Vitanov, Nikolay K.
8 Xu, Bo
8 Xu, Guiqiong
8 Yusufoğlu (Agadjanov), Elçin
8 Zhang, Yongshuai
8 Zou, Li
7 An, Hongli
7 Baskonus, Haci Mehmet
7 Bulut, Hasan
7 Chaolu, Temuer
7 Chen, Dengyuan
7 Dai, Chaoqing
7 Dai, Zhengde
7 Dimitrova, Zlatinka I.
...and 1,970 more Authors
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Cited in 217 Serials

258 Applied Mathematics and Computation
132 Chaos, Solitons and Fractals
120 Communications in Nonlinear Science and Numerical Simulation
86 Nonlinear Dynamics
68 Journal of Mathematical Physics
68 Applied Mathematics Letters
67 Computers & Mathematics with Applications
44 Abstract and Applied Analysis
37 Mathematical Methods in the Applied Sciences
35 Journal of Nonlinear Mathematical Physics
34 Physica D
33 Communications in Theoretical Physics
32 Advances in Difference Equations
32 Advances in Mathematical Physics
30 International Journal of Modern Physics B
30 Physics Letters. A
30 Waves in Random and Complex Media
29 International Journal of Computer Mathematics
27 Theoretical and Mathematical Physics
27 Mathematical Problems in Engineering
25 Modern Physics Letters B
25 Journal of Mathematical Analysis and Applications
24 Reports on Mathematical Physics
24 Journal of Geometry and Physics
22 Journal of Applied Mathematics
20 Journal of Differential Equations
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Studies in Applied Mathematics
18 Numerical Methods for Partial Differential Equations
18 International Journal of Nonlinear Sciences and Numerical Simulation
18 International Journal of Applied and Computational Mathematics
17 Journal of Computational and Applied Mathematics
15 Nonlinear Analysis. Real World Applications
15 Analysis and Mathematical Physics
14 International Journal of Theoretical Physics
14 Wave Motion
12 Mathematics and Computers in Simulation
12 Applied Mathematics and Mechanics. (English Edition)
11 Applicable Analysis
11 Acta Mathematicae Applicatae Sinica. English Series
11 Journal of the Egyptian Mathematical Society
11 Chaos
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 International Journal of Numerical Methods for Heat & Fluid Flow
10 International Journal of Modern Physics C
9 Chinese Annals of Mathematics. Series B
9 Mathematical and Computer Modelling
9 Journal of Applied Analysis and Computation
9 Journal of Function Spaces
8 Applied Mathematical Modelling
8 Complexity
8 Journal of Physics A: Mathematical and Theoretical
8 Chinese Journal of Physics (Taipei)
8 International Journal of Differential Equations
8 AIMS Mathematics
7 Applied Mathematics. Series B (English Edition)
7 Acta Mathematica Scientia. Series B. (English Edition)
7 International Journal of Geometric Methods in Modern Physics
6 Computational and Applied Mathematics
6 Fractals
6 Discrete Dynamics in Nature and Society
6 Qualitative Theory of Dynamical Systems
6 Boundary Value Problems
6 Frontiers of Mathematics in China
5 Communications in Mathematical Physics
5 Nonlinearity
5 Journal of Nonlinear Science
5 Mathematical Physics, Analysis and Geometry
5 Journal of Shanghai University
5 Discrete and Continuous Dynamical Systems. Series S
5 Advances in Applied Mathematics and Mechanics
5 East Asian Journal on Applied Mathematics
5 Computational Methods for Differential Equations
4 Computers and Fluids
4 Computer Physics Communications
4 Proceedings of the American Mathematical Society
4 Computational Mathematics and Modeling
4 Journal of Difference Equations and Applications
4 Journal of Mathematical Chemistry
4 Nonlinear Analysis. Modelling and Control
4 Journal of Applied Mathematics and Computing
4 Asian-European Journal of Mathematics
4 Mathematical Sciences
3 Journal of Computational Physics
3 Journal of the Franklin Institute
3 Nuclear Physics. B
3 Physica A
3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
3 Advances in Mathematics
3 Ricerche di Matematica
3 Acta Applicandae Mathematicae
3 Computational Mathematics and Mathematical Physics
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Discrete and Continuous Dynamical Systems
3 Differential Equations and Dynamical Systems
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Symmetry
3 ISRN Applied Mathematics
3 Open Mathematics
3 AMM. Applied Mathematics and Mechanics. (English Edition)
...and 117 more Serials
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Cited in 43 Fields

1,753 Partial differential equations (35-XX)
775 Dynamical systems and ergodic theory (37-XX)
239 Numerical analysis (65-XX)
164 Fluid mechanics (76-XX)
85 Ordinary differential equations (34-XX)
80 Computer science (68-XX)
74 Quantum theory (81-XX)
61 Optics, electromagnetic theory (78-XX)
46 Special functions (33-XX)
46 Approximations and expansions (41-XX)
41 Nonassociative rings and algebras (17-XX)
34 Mechanics of deformable solids (74-XX)
31 Statistical mechanics, structure of matter (82-XX)
28 Real functions (26-XX)
28 Integral equations (45-XX)
27 Algebraic geometry (14-XX)
20 Difference and functional equations (39-XX)
20 Mechanics of particles and systems (70-XX)
20 Biology and other natural sciences (92-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
16 Probability theory and stochastic processes (60-XX)
13 Topological groups, Lie groups (22-XX)
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13 Global analysis, analysis on manifolds (58-XX)
11 Geophysics (86-XX)
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10 Differential geometry (53-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Relativity and gravitational theory (83-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Classical thermodynamics, heat transfer (80-XX)
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