Edit Profile (opens in new tab) Fan, Engui Co-Author Distance Author ID: 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. more...less External Links: ResearchGate · dblp Documents Indexed: 236 Publications since 1993, including 24 Additional arXiv Preprints Co-Authors: 68 Co-Authors with 191 Joint Publications 2,252 Co-Co-Authors all top 5 Co-Authors 41 single-authored 22 Xu, Jian 17 Hon, Yiu-Chung 14 Luo, Lin 14 Yang, Yiling 12 Zhang, Hongqing 12 Zhao, Peng 11 Zhang, Yufeng 9 Hou, Yu 9 Wang, Zhaoyu 8 Yuen, Manwai 7 Chen, Yang 5 Chen, Meisen 5 Cheng, Qiaoyuan 5 Wen, Lili 5 Xiao, Yu 5 Xu, Taiyang 5 Zhou, Xuan 5 Zhu, Qiaozhen 4 Dai, Huihui 4 Luo, Jinghua 4 Ma, Wen-Xiu 4 Qiao, Zhijun 4 Zhang, Zechuan 3 An, Hongli 3 Chen, Min 3 Chen, Yong 3 Chow, Kwokwing 3 Ju, Luman 3 Liu, Anran 3 Ma, Ruihong 3 Xia, Tie-Cheng 2 Chaolu, Temuer 2 Dai, Jialiang 2 Huang, Lin 2 Tam, Hon-Wah 2 Wang, Yunbo 2 Xun, Weikang 2 Zhang, Jian 2 Zhang, Ning 2 Zhao, Yi 1 Chang, Qianshun 1 Chao, Lu 1 Geng, Xianguo 1 Guo, Ning 1 He, Feng-Jing 1 He, Jingsong 1 Huang, Yehui 1 Li, Gaozhan 1 Li, Zhiqiang 1 Liu, Pan 1 Liu, Xinhan 1 Lyu, Shulin 1 Nian, Sihong 1 Qin, Zhenyun 1 Sabry, Refaat 1 Tian, Shoufu 1 Wang, Jinhai 1 Wang, Zhong 1 Wei, Hanyu 1 Yan, Zhenya 1 Yang, Jinjie 1 Yang, Zonghang 1 Yao, Yuqin 1 Zahran, M. A. 1 Zang, Gao-Lian 1 Zhang, Weiguo 1 Zhang, Yongqing 1 Zhu, Haixing all top 5 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 all top 5 Fields 182 Partial differential equations (35-XX) 129 Dynamical systems and ergodic theory (37-XX) 17 Approximations and expansions (41-XX) 12 Algebraic geometry (14-XX) 12 Quantum theory (81-XX) 10 Fluid mechanics (76-XX) 9 Ordinary differential equations (34-XX) 8 Special functions (33-XX) 7 Nonassociative rings and algebras (17-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Optics, electromagnetic theory (78-XX) 4 Functions of a complex variable (30-XX) 4 Mechanics of particles and systems (70-XX) 3 Difference and functional equations (39-XX) 3 Probability theory and stochastic processes (60-XX) 3 Numerical analysis (65-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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(English Edition) ...and 117 more Serials all top 5 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) 13 Functions of a complex variable (30-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Geophysics (86-XX) 10 Operator theory (47-XX) 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) 4 Number theory (11-XX) 3 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year