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: 243 Publications since 1993, including 24 Additional arXiv Preprints Co-Authors: 70 Co-Authors with 199 Joint Publications 2,299 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 Wang, Zhaoyu 11 Zhang, Yufeng 10 Yuen, Manwai 9 Hou, Yu 7 Chen, Meisen 7 Chen, Yang 6 Cheng, Qiaoyuan 6 Zhou, Xuan 5 Wen, Lili 5 Xiao, Yu 5 Zhu, Qiaozhen 4 Dai, Huihui 4 Luo, Jinghua 4 Ma, Ruihong 4 Ma, Wen-Xiu 4 Qiao, Zhijun (George) 4 Xu, Taiyang 4 Zhang, Zechuan 3 An, Hongli 3 Chen, Min 3 Chen, Yong 3 Chow, Kwokwing 3 Ju, Luman 3 Liu, Anran 3 Xia, Tie-Cheng 2 Chaolu, Temuer 2 Dai, Jialiang 2 He, Jingsong 2 Huang, Lin 2 Liu, Xinhan 2 Tam, Hon-Wah 2 Wang, Yunbo 2 Xun, Weikang 2 Zhang, Jian 2 Zhang, Ning 2 Zhao, Yi 1 Bridges, Thomas J. 1 Chang, Qianshun 1 Chao, Lu 1 Geng, Xianguo 1 Guo, Ning 1 He, Feng-Jing 1 Huang, Yehui 1 Li, Gaozhan 1 Li, Zhiqiang 1 Liu, Pan 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, Yanxi 1 Zhang, Yongqing 1 Zhu, Haixing all top 5 Serials 30 Physics Letters. A 16 Journal of Mathematical Physics 14 Chaos, Solitons and Fractals 14 Communications in Theoretical Physics 12 Journal of Differential Equations 10 Studies in Applied Mathematics 9 Applied Mathematics Letters 9 Journal of Inner Mongolia University 7 Journal of Mathematical Analysis and Applications 7 Physica D 6 Journal of Nonlinear Mathematical Physics 6 Acta Mathematica Scientia. Series B. (English Edition) 5 Journal of Physics A: Mathematical and General 4 Chinese Annals of Mathematics. Series B 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Geometry and Physics 3 Advances in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Applied Mathematics and Mechanics. (English Edition) 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 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 Chinese Journal of Physics (Taipei) 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 188 Partial differential equations (35-XX) 132 Dynamical systems and ergodic theory (37-XX) 17 Approximations and expansions (41-XX) 12 Algebraic geometry (14-XX) 12 Quantum theory (81-XX) 11 Ordinary differential equations (34-XX) 11 Fluid mechanics (76-XX) 9 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 Integral equations (45-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 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 179 Publications have been cited 4,404 times in 2,677 Documents Cited by ▼ Year ▼ Extended tanh-function method and its applications to nonlinear equations. Zbl 1167.35331 Fan, Engui 707 2000 A note on the homogeneous balance method. Zbl 1125.35308 Fan, Engui; Zhang, Hongqing 253 1998 Linear superposition principle applying to Hirota bilinear equations. Zbl 1217.35164 Ma, Wen-Xiu; Fan, Engui 196 2011 Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics. Zbl 1030.35136 Fan, Engui 129 2003 Applications of the Jacobi elliptic function method to special-type nonlinear equations. Zbl 1005.35063 Fan, Engui; Zhang, Jian 115 2002 Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation. Zbl 0984.37092 Fan, E. 113 2001 Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons. Zbl 1317.35169 Xu, Jian; Fan, Engui 95 2015 Two new applications of the homogeneous balance method. Zbl 0947.35012 Fan, Engui 94 2000 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 81 2000 Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation. Zbl 0960.35093 Fan, Engui 73 2000 New exact solutions to a solutions to a system of coupled KdV equations. Zbl 0947.35126 Fan, Engui; Zhang, Hongqing 73 1998 The unified transform method for the Sasa-Satsuma equation on the half-line. Zbl 1348.35249 Xu, Jian; Fan, Engui 68 2013 Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method. Zbl 1039.35029 Fan, Engui 67 2002 Traveling wave solutions for nonlinear equations using symbolic computation. Zbl 1002.35107 Fan, En-Gui 64 2002 Quasi-periodic waves and an asymptotic property for the asymmetrical Nizhnik-Novikov-Veselov equation. Zbl 1165.35044 Fan, Engui 63 2009 A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations. Zbl 1063.37060 Fan, Engui 62 2001 Integrable systems of derivative nonlinear Schrödinger type and their multi-Hamiltonian structure. Zbl 0970.37054 Fan, Engui 61 2001 An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations. Zbl 1167.35324 Fan, Engui 61 2003 Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations. Zbl 0981.35064 Fan, Engui 59 2002 A series of travelling wave solutions for two variant Boussinesq equations in shallow water waves. Zbl 1031.76008 Fan, Enguiu; Hon, Y. C. 59 2003 A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem. Zbl 0977.37039 Fan, Engui 56 2001 The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials. Zbl 1241.35176 Fan, Engui 54 2011 A simple method for generating integrable hierarchies with multi-potential functions. Zbl 1092.37044 Fan, Engui; Zhang, Yufeng 46 2005 Travelling wave solutions in terms of special functions for nonlinear coupled evolution systems. Zbl 0997.34007 Fan, Engui 45 2002 Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value. Zbl 1274.35364 Xu, Jian; Fan, Engui; Chen, Yong 44 2013 Super extension of Bell polynomials with applications to supersymmetric equations. Zbl 1273.81107 Fan, Engui; Hon, Y. C. 38 2012 Applications of extended tanh method to ‘special’ types of nonlinear equations. Zbl 1027.65128 Fan, Engui; Hon, Y. C. 37 2003 A new complex line soliton for the two-dimensional KdV-Burgers equation. Zbl 0979.35126 Fan, Engui; Zhang, Jian; Hon, Benny Y. C. 36 2001 The three-wave equation on the half-line. Zbl 1396.31001 Xu, Jian; Fan, Engui 36 2014 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 34 2008 Darboux covariant Lax pairs and infinite conservation laws of the (2+1)-dimensional breaking soliton equation. Zbl 1314.35138 Fan, Engui; Chow, Kwok Wing 29 2011 Long-time asymptotic behavior for the complex short pulse equation. Zbl 1447.35066 Xu, Jian; Fan, Engui 29 2020 A Riemann-Hilbert approach to the Harry-Dym equation on the line. Zbl 1344.35076 Xiao, Yu; Fan, Engui 29 2016 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 28 2018 Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems. Zbl 1098.35559 Fan, Engui; Hon, Benny Y. C. 27 2002 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. 27 2003 Long-time asymptotics for the focusing Fokas-Lenells equation in the solitonic region of space-time. Zbl 1483.35175 Cheng, Qiaoyuan; Fan, Engui 27 2022 A series of new explicit exact solutions for the coupled Klein-Gordon-Schrödinger equations. Zbl 1049.35167 Darwish, A.; Fan, E. G. 26 2004 Variable separation and algebro-geometric solutions of the Gerdjikov-Ivanov equation. Zbl 1062.37066 Dai, H. H.; Fan, E. G. 26 2004 Long-time asymptotic for the Hirota equation via nonlinear steepest descent method. Zbl 1330.35280 Huang, Lin; Xu, Jian; Fan, En-gui 26 2015 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 26 2003 \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation. Zbl 1451.35191 Luo, Jinghua; Fan, Engui 25 2020 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 25 2018 On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. Zbl 1491.35396 Yang, Yiling; Fan, Engui 25 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 24 2001 Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1448.35439 Zhang, Zechuan; Fan, Engui 23 2020 Initial-boundary value problem for integrable nonlinear evolution equation with \(3\times3\) Lax pairs on the interval. Zbl 1339.35205 Xu, Jian; Fan, Engui 23 2016 New bilinear Bäcklund transformation and Lax pair for the supersymmetric two-boson equation. Zbl 1247.37078 Fan, E. 22 2011 Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy. Zbl 1195.37044 Zhang, Yufeng; Fan, Engui 22 2006 A few expanding Lie algebras of the Lie algebra \(A_1\) and applications. Zbl 1193.17015 Zhang, Yufeng; Fan, Engui; Tam, Honwah 21 2006 Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy. Zbl 1420.37097 Zhao, Peng; Fan, Engui; Hou, Yu 21 2013 Soliton resolution for the short-pulse equation. Zbl 1459.35328 Yang, Yiling; Fan, Engui 21 2021 The multicomponent generalized Kaup-Newell hierarchy and its multicomponent integrable couplings system with two arbitrary functions. Zbl 1067.37103 Xia, Tiecheng; Fan, Engui 20 2005 Long-time asymptotics for the nonlocal mKdV equation. Zbl 1452.35169 He, Feng-Jing; Fan, En-Gui; Xu, Jian 20 2019 A series of new exact solutions for a complex coupled KdV system. Zbl 1068.35130 Hon, Y. C.; Fan, E. G. 19 2004 Discrete integrable couplings associated with Toda-type lattice and two hierarchies of discrete soliton equations. Zbl 1236.37041 Zhang, Yufeng; Fan, Engui; Zhang, Yongqing 18 2006 Uniformly constructing finite-band solutions for a family of derivative nonlinear Schrödinger equations. Zbl 1068.35156 Hon, Y. C.; Fan, Engui 18 2005 A differential-difference hierarchy associated with relativistic Toda and Volterra hierarchies. Zbl 1221.37122 Fan, Engui; Dai, Huihui 18 2008 Algebro-geometric solutions for the Degasperis-Procesi hierarchy. Zbl 1291.35286 Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun 18 2013 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 18 2021 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 17 2003 A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation. Zbl 1324.35175 Xu, Jian; Fan, Engui 17 2014 Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. Zbl 1507.35132 Yang, Yiling; Fan, Engui 17 2021 A lattice hierarchy with a free function and its reductions to the Ablowitz-Ladik and Volterra hierarchies. Zbl 1161.81359 Fan, Engui; Yang, Zonghang 16 2009 The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy. Zbl 1386.14131 Hou, Yu; Fan, Engui; Qiao, Zhijun 16 2017 Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy. Zbl 1287.35081 Hou, Yu; Fan, Engui; Zhao, Peng 16 2013 Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161 Zhao, Peng; Fan, Engui 16 2020 Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1479.35809 Luo, Jinghua; Fan, Engui 16 2021 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. 15 2004 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 15 2004 Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles. Zbl 1380.60015 Lyu, Shulin; Chen, Yang; Fan, Engui 15 2018 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 15 2022 Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water. Zbl 0922.35152 Fan, Engui; Zhang, Hongqing 14 1998 Using symbolic computation to exactly solve a new coupled MKdV system. Zbl 0995.35057 Fan, Engui 14 2002 Characteristic numbers of matrix Lie algebras. Zbl 1392.17028 Zhang, Yu-Feng; Fan, En-Gui 14 2008 A series of exact solutions for coupled Higgs field equation and coupled Schrödinger-Boussinesq equation. Zbl 1172.35480 Hon, Y. C.; Fan, E. G. 13 2009 Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions. Zbl 1497.35416 Zhao, Yi; Fan, Engui 13 2021 A new approach to Bäcklund transformations of nonlinear evolution equations. Zbl 0923.35157 Fan, Engui; Zhang, Hongqing 12 1998 An algebro-geometric solution for a Hamiltonian system with application to dispersive long wave equation. Zbl 1076.37058 Hon, Y. C.; Fan, E. G. 12 2005 The homogeneous balance method for solving nonlinear soliton equations. Zbl 1202.35187 Fan, En Gui; Zhang, Hong Qing 12 1998 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 Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. Zbl 1312.35156 Zhang, Yufeng; Fan, Engui 11 2010 Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. Zbl 1202.81035 Fan, E. G.; Hon, Y. C. 11 2010 Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions. Zbl 1235.35242 Fan, Engui 11 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 On doubly periodic standing wave solutions of the coupled Higgs field equation. Zbl 1241.35165 Fan, E.-G.; Chow, K.-W.; Li, J.-H. 11 2012 \(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach. Zbl 1499.35566 Wen, Lili; Zhang, Ning; Fan, Engui 11 2020 Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions. Zbl 1486.35368 Xiao, Yu; Fan, Engui; Liu, Pan 11 2021 Vector loop algebra and its applications to integrable system. Zbl 1106.37045 Fan, Engui; Zhang, Yufeng 10 2006 Perturbed Hankel determinant, correlation functions and Painlevé equations. Zbl 1338.33020 Chen, Min; Chen, Yang; Fan, Engui 10 2016 An approach for generating enlarging integrable systems. Zbl 1203.37114 Zhang, Yufeng; Fan, Engui 10 2007 The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025 Chen, Min; Chen, Yang; Fan, En-Gui 10 2019 Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127 Hon, Y. C.; Fan, Engui 10 2012 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 10 2023 The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions. Zbl 1529.35483 Wang, Zhaoyu; Fan, Engui 10 2023 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 10 2016 Peakon weak solutions for the rotation-two-component Camassa-Holm system. Zbl 1423.35083 Fan, Engui; Yuen, Manwai 10 2019 Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region. Zbl 1496.35371 Wang, Zhaoyu; Fan, Engui 10 2022 \(N\)-fold Darboux transformation and soliton solutions for a nonlinear Dirac system. Zbl 1062.37089 Fan, E. G. 9 2005 New explicit travelling wave solutions for a class of nonlinear evolution equations. Zbl 1202.35310 Yan, Zhen Ya; Zhang, Hong Qing; Fan, En Gui 9 1999 Existence of global solutions to the nonlocal Schrödinger equation on the line. Zbl 1539.35249 Zhao, Yi; Fan, Engui 2 2024 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 10 2023 The defocusing nonlinear Schrödinger equation with a nonzero background: Painlevé asymptotics in two transition regions. Zbl 1529.35483 Wang, Zhaoyu; Fan, Engui 10 2023 The Fokas-Lenells equation on the line: global well-posedness with solitons. Zbl 1517.35145 Cheng, Qiaoyuan; Fan, Engui 3 2023 Long time asymptotics behavior of the focusing nonlinear Kundu-Eckhaus equation. Zbl 1512.35424 Ma, Ruihong; Fan, Engui 3 2023 The Sasa-Satsuma equation on a non-zero background: the inverse scattering transform and multi-soliton solutions. Zbl 1524.35513 Wen, Lili; Fan, Engui; Chen, Yong 2 2023 Large-time asymptotics to the focusing nonlocal modified Korteweg-de Vries equation with step-like boundary conditions. (Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions.) Zbl 1529.35455 Xu, Taiyang; Fan, Engui 2 2023 Long time asymptotic behavior for the nonlocal mKdV equation in solitonic space-time regions. Zbl 1506.35195 Zhou, Xuan; Fan, Engui 2 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 2 2023 \(l^2\)-Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz-Ladik systems. Zbl 1508.37095 Chen, Meisen; Fan, Engui; He, Jingsong 1 2023 A Riemann-Hilbert method to algebro-geometric solutions of the Korteweg-de Vries equation. Zbl 1522.35454 Zhao, Peng; 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 27 2022 On the long-time asymptotics of the modified Camassa-Holm equation in space-time solitonic regions. Zbl 1491.35396 Yang, Yiling; Fan, Engui 25 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 15 2022 Defocusing NLS equation with nonzero background: large-time asymptotics in a solitonless region. Zbl 1496.35371 Wang, Zhaoyu; Fan, Engui 10 2022 Riemann-Hilbert approach for discrete sine-Gordon equation with simple and double poles. Zbl 1529.35317 Chen, Meisen; Fan, Engui 8 2022 Long time asymptotics for the nonlocal mKdV equation with finite density initial data. Zbl 1501.35358 Zhou, Xuan; Fan, Engui 8 2022 Critical edge behavior in the singularly perturbed Pollaczek-Jacobi type unitary ensemble. Zbl 1526.33003 Wang, Zhaoyu; Fan, Engui 4 2022 Multiple-high-order pole solutions for the NLS equation with quartic terms. Zbl 1490.35460 Wen, Li-Li; Fan, En-Gui; Chen, Yong 3 2022 \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation. Zbl 1489.35241 Luo, Jinghua; Fan, Engui 3 2022 Long-time asymptotic behavior for the derivative Schrödinger equation with finite density type initial data. Zbl 1503.35202 Yang, Yiling; Fan, Engui 3 2022 Long time and Painlevé-type asymptotics for the Sasa-Satsuma equation in solitonic space time regions. Zbl 1493.35087 Xun, Weikang; Fan, Engui 2 2022 Long time asymptotics for the focusing nonlinear Schrödinger equation in the solitonic region with the presence of high-order discrete spectrum. Zbl 1489.35260 Wang, Zhaoyu; Chen, Meisen; 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 21 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 18 2021 Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions. Zbl 1507.35132 Yang, Yiling; Fan, Engui 17 2021 Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1479.35809 Luo, Jinghua; Fan, Engui 16 2021 Inverse scattering transformation for the Fokas-Lenells equation with nonzero boundary conditions. Zbl 1497.35416 Zhao, Yi; Fan, Engui 13 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 11 2021 A \(\overline{\partial}\)-dressing approach to the Kundu-Eckhaus equation. Zbl 1473.35511 Luo, Jinghua; Fan, Engui 9 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 8 2021 The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system. Zbl 1462.35370 Yao, Yuqin; Huang, Yehui; Fan, Engui 4 2021 Riemann-Hilbert problems and soliton solutions for the complex modified short pulse equation. Zbl 1530.35107 Zhou, Xuan; Fan, Engui 3 2021 Long-time asymptotic behavior of a mixed Schrödinger equation with weighted Sobolev initial data. Zbl 1498.35494 Cheng, Qiaoyuan; Yang, Yiling; Fan, Engui 2 2021 Long-time asymptotic behavior for the complex short pulse equation. Zbl 1447.35066 Xu, Jian; Fan, Engui 29 2020 \( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation. Zbl 1451.35191 Luo, Jinghua; Fan, Engui 25 2020 Inverse scattering transform for the Gerdjikov-Ivanov equation with nonzero boundary conditions. Zbl 1448.35439 Zhang, Zechuan; Fan, Engui 23 2020 Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. Zbl 1453.35161 Zhao, Peng; Fan, Engui 16 2020 \(N\)-soliton solution of the Kundu-type equation via Riemann-Hilbert approach. Zbl 1499.35566 Wen, Lili; Zhang, Ning; Fan, Engui 11 2020 Long-time asymptotics for a mixed nonlinear Schrödinger equation with the Schwartz initial data. Zbl 1442.35414 Cheng, Qiaoyuan; Fan, Engui 5 2020 Long-time asymptotic behavior for the discrete defocusing mKdV equation. Zbl 1434.35152 Chen, Meisen; Fan, Engui 3 2020 Long-time asymptotics for the nonlocal mKdV equation. Zbl 1452.35169 He, Feng-Jing; Fan, En-Gui; Xu, Jian 20 2019 The Riemann-Hilbert analysis to the Pollaczek-Jacobi type orthogonal polynomials. Zbl 1426.33025 Chen, Min; Chen, Yang; Fan, En-Gui 10 2019 Peakon weak solutions for the rotation-two-component Camassa-Holm system. Zbl 1423.35083 Fan, Engui; Yuen, Manwai 10 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 4 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 On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy. Zbl 1423.35018 Zhao, Peng; 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 28 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 25 2018 Asymptotic gap probability distributions of the Gaussian unitary ensembles and Jacobi unitary ensembles. Zbl 1380.60015 Lyu, Shulin; Chen, Yang; Fan, Engui 15 2018 Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the interval. Zbl 1420.35391 Zhu, Qiaozhen; Xu, Jian; Fan, Engui 8 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 16 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 5 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 3 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 29 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 23 2016 Perturbed Hankel determinant, correlation functions and Painlevé equations. Zbl 1338.33020 Chen, Min; Chen, Yang; Fan, Engui 10 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 10 2016 The initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. Zbl 1413.35365 Xu, Jian; Fan, Engui 8 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 5 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 95 2015 Long-time asymptotic for the Hirota equation via nonlinear steepest descent method. Zbl 1330.35280 Huang, Lin; Xu, Jian; Fan, En-gui 26 2015 The Cartesian vector solutions for the \(N\)-dimensional compressible Euler equations. Zbl 1309.35063 An, Hongli; Fan, Engui; Yuen, Manwai 6 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 36 2014 A Riemann-Hilbert approach to the initial-boundary problem for derivative nonlinear Schrödinger equation. Zbl 1324.35175 Xu, Jian; Fan, Engui 17 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 68 2013 Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial value. Zbl 1274.35364 Xu, Jian; Fan, Engui; Chen, Yong 44 2013 Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy. Zbl 1420.37097 Zhao, Peng; Fan, Engui; Hou, Yu 21 2013 Algebro-geometric solutions for the Degasperis-Procesi hierarchy. Zbl 1291.35286 Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun 18 2013 Algebro-geometric solutions for the Gerdjikov-Ivanov hierarchy. Zbl 1287.35081 Hou, Yu; Fan, Engui; Zhao, Peng 16 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. 38 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. 11 2012 Binary Bell polynomial approach to the non-isospectral and variable-coefficient KP equations. Zbl 1251.35127 Hon, Y. C.; Fan, Engui 10 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 196 2011 The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials. Zbl 1241.35176 Fan, Engui 54 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 29 2011 New bilinear Bäcklund transformation and Lax pair for the supersymmetric two-boson equation. Zbl 1247.37078 Fan, E. 22 2011 Super quasiperiodic wave solutions and asymptotic analysis for \(\mathcal N=1\) supersymmetric KdV-type equations. Zbl 1274.35326 Hon, Y. C.; Fan, Engui 4 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 Quasi-periodic waves of the \(\mathcal N=1\) supersymmetric modified Korteweg-de Vries equation. Zbl 1202.37085 Luo, Lin; Fan, Engui 2 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 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 Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. Zbl 1312.35156 Zhang, Yufeng; Fan, Engui 11 2010 Quasiperiodic wave solutions of \({\mathcal N}=2\) supersymmetric KdV equation in superspace. Zbl 1202.81035 Fan, E. G.; Hon, Y. C. 11 2010 Supersymmetric KdV-Sawada-Kotera-Ramani equation and its quasi-periodic wave solutions. Zbl 1235.35242 Fan, Engui 11 2010 ...and 79 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,440 Authors 140 Fan, Engui 117 Zhang, Yufeng 111 Zhang, Hongqing 93 Ma, Wen-Xiu 78 Chen, Yong 69 Tian, Shoufu 56 Xia, Tie-Cheng 43 Dong, Huanhe 39 Bekir, Ahmet 35 Yu, Fajun 32 Li, Biao 31 Zayed, Elsayed M. E. 30 Geng, Xianguo 30 Yan, Zhenya 29 Zhang, Sheng 28 Gao, Yitian 28 Zhang, Tiantian 27 Wang, Qi 26 Zhang, Yi 25 Lü, Xing 24 Wazwaz, Abdul-Majid Abdul-Rahman 23 Hu, Beibei 23 Tam, Hon-Wah 22 Xu, Jian 21 Biswas, Anjan 21 Tian, Bo 20 He, Jingsong 20 Hon, Yiu-Chung 19 Wen, Xiaoyong 18 Chen, Yang 17 Chen, Dengyuan 17 Kaya, Doǧan 17 Kudryashov, Nikolaĭ Alekseevich 17 Wang, Mingliang 16 Abdou, Mohamed Aly Mohamed 16 Fu, Zuntao 16 Khalique, Chaudry Masood 16 Liu, Shikuo 16 Manafian Heris, Jalil 16 Wang, Xiubin 16 Yang, Jinjie 16 Zhang, Huiqun 15 Elwakil, S. A. 15 Inc, Mustafa 15 Luo, Lin 15 Shen, Shoufeng 15 Wang, Lei 15 Zhang, Ling 14 Guo, Boling 14 Han, Bo 14 Liu, Nan 14 Liu, Shida 14 Seadawy, Aly R. 14 Yao, Yuqin 14 Zhao, Zhonglong 13 Feng, Binlu 13 Gepreel, Khaled A. 13 Li, Li 13 Li, Zhibin 13 Peng, Weiqi 13 Song, Lina 13 Wang, Haifeng 13 Wang, Yunhu 13 Xu, Guiqiong 13 Yomba, Emmanuel 13 Zhang, Weiguo 12 Ganji, Davood Domiri 12 Li, Jibin 12 Li, Zhu 12 Tang, Yaning 11 An, Hongli 11 Li, Zhiqiang 11 Liu, Yinping 11 Lu, Dianchen 11 Qiao, Zhijun (George) 11 Qiu, Deqin 11 Shang, Yadong 11 Yang, Hongwei 11 Yuan, Wenjun 11 Zhang, Ning 10 Ali Akbar, M. 10 Chen, Mingming 10 Dai, Chaoqing 10 Feng, Baofeng 10 Feng, Zhaosheng 10 Huang, Dingjiang 10 Li, Xiangzheng 10 Liu, Jianguo 10 Liu, Wenjun J. 10 Macías-Díaz, Jorge Eduardo 10 Sabry, Refaat 10 Saha Ray, Santanu 10 Tian, Lixin 10 Wang, Hui 10 Wang, Kedong 10 Yıldırım, Ahmet 10 Yuen, Manwai 10 Zhang, Jianbing 10 Zhang, Jinliang 10 Zhao, Peng ...and 2,340 more Authors all top 5 Cited in 226 Serials 291 Applied Mathematics and Computation 273 Chaos, Solitons and Fractals 180 Physics Letters. 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Series B 10 Mathematical and Computer Modelling 10 International Journal of Numerical Methods for Heat & Fluid Flow 10 International Journal of Modern Physics C 10 Journal of Function Spaces 9 Qualitative Theory of Dynamical Systems 9 Journal of Physics A: Mathematical and Theoretical 8 Applied Mathematical Modelling 8 Applied Mathematics. Series B (English Edition) 8 Complexity 8 Acta Mathematica Scientia. Series B. (English Edition) 8 International Journal of Differential Equations 8 AIMS Mathematics 7 Journal of Nonlinear Science 7 Boundary Value Problems 6 Nonlinearity 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Computational and Applied Mathematics 6 Fractals 6 Discrete Dynamics in Nature and Society 6 Frontiers of Mathematics in China 6 East Asian Journal on Applied Mathematics 5 Communications in Mathematical Physics 5 Physica A 5 Journal of Mathematical Chemistry 5 Mathematical Physics, Analysis and Geometry 5 Journal of Shanghai University 5 Journal of Applied Mathematics and Computing 5 Discrete and Continuous Dynamical Systems. Series S 5 Advances in Applied Mathematics and Mechanics 5 Computational Methods for Differential Equations 4 Computers and Fluids 4 Journal of Computational Physics 4 Letters in Mathematical Physics 4 Advances in Mathematics 4 Proceedings of the American Mathematical Society 4 Computational Mathematics and Modeling 4 Journal of Difference Equations and Applications 4 Nonlinear Analysis. Modelling and Control 4 Asian-European Journal of Mathematics 4 Mathematical Sciences 4 Cogent Mathematics 3 Modern Physics Letters A 3 International Journal of Engineering Science 3 Journal of the Franklin Institute 3 Nuclear Physics. B 3 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 3 Ricerche di Matematica 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Computational Mathematics and Mathematical Physics 3 Engineering Analysis with Boundary Elements ...and 126 more Serials all top 5 Cited in 46 Fields 2,272 Partial differential equations (35-XX) 1,037 Dynamical systems and ergodic theory (37-XX) 291 Numerical analysis (65-XX) 200 Fluid mechanics (76-XX) 121 Ordinary differential equations (34-XX) 117 Computer science (68-XX) 102 Quantum theory (81-XX) 85 Optics, electromagnetic theory (78-XX) 73 Special functions (33-XX) 62 Nonassociative rings and algebras (17-XX) 53 Approximations and expansions (41-XX) 43 Mechanics of deformable solids (74-XX) 43 Statistical mechanics, structure of matter (82-XX) 36 Real functions (26-XX) 33 Integral equations (45-XX) 32 Algebraic geometry (14-XX) 32 Difference and functional equations (39-XX) 28 Probability theory and stochastic processes (60-XX) 24 Biology and other natural sciences (92-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 23 Mechanics of particles and systems (70-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 Functions of a complex variable (30-XX) 13 Relativity and gravitational theory (83-XX) 11 Operator theory (47-XX) 11 Differential geometry (53-XX) 11 Geophysics (86-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Number theory (11-XX) 3 Measure and integration (28-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX) Citations by Year