Edit Profile (opens in new tab) Chen, Yong Co-Author Distance Author ID: chen.yong Published as: Chen, Yong; Yong, Chen; Chen, Y. more...less Further Spellings: 陈勇; Ион Чен Homepage: https://faculty.ecnu.edu.cn/_s42/cy12/main.psp External Links: ResearchGate · Math-Net.Ru Documents Indexed: 248 Publications since 2002, including 29 Additional arXiv Preprints Co-Authors: 78 Co-Authors with 213 Joint Publications 2,683 Co-Co-Authors all top 5 Co-Authors 5 single-authored 48 Li, Biao 30 Zhang, Hongqing 22 Wang, Qi 19 Yan, Zhenya 15 Li, Yuqi 12 Hu, Xiaorui 11 Chen, Junchao 10 An, Hongli 10 Huang, Lili 10 Peng, Weiqi 7 Wang, Yunhu 6 Feng, Baofeng 6 Li, Zhibin 6 Pu, JunCai 6 Xin, Xiangpeng 6 Yang, Yunqing 5 Zhang, Xiaoen 4 Li, Hongmin 4 Li, Xin 4 Lin, Shuning 4 Maruno, Kenichi 4 Wang, Xin 4 Yang, Bo 4 Yang, Pei 4 Yue, Yunfei 4 Zhang, Huanping 4 Zhu, Jinyan 3 Cheng, Wenguang 3 Dong, Zhongzhou 3 Fan, Engui 3 Han, Zhong 3 Miao, Qian 3 Wen, Lili 2 Chen, Huiping 2 Gao, Wujun 2 Gu, Xiangmeng 2 Li, Yin 2 Lou, Senyue 2 Ma, Zhengyi 2 Malomed, Boris A. 2 Miao, Zhengwu 2 Ohta, Yasuhiro 2 Tang, Xiaoyan 2 Xie, Fuding 2 Xiong, Na 2 Xu, Jian 2 Xu, Tao 2 Xuan, Hengnong 2 Zheng, Xuedong 2 Zheng, Yu 1 Chen, Anyue 1 Chen, Chunrong 1 Chen, Qingxia 1 Chen, Xiudong 1 Ding, Chuan 1 Ding, Zhen 1 Dong, Huanhe 1 Gong, Yuanyuan 1 Guo, Qi 1 Guo, Weiming 1 Hong, Weiyi 1 Hu, Ruizi 1 Hu, Wei 1 Huang, Deqing 1 Huang, Fei 1 Huang, Hansong 1 Huang, Tao 1 Huang, Tengfei 1 Jiang, Guo 1 Jin, Xu 1 Jin, Yi-Liang 1 Klingenberg, Christian 1 Lang, Yanhuai 1 Li, Quan Yong 1 Li, Shan 1 Li, Yongzhi 1 Liu, Yanming 1 Liu, Yue 1 Lü, Chang-Cheng 1 Lu, Lizhong 1 Lu, Yanping 1 Lu, Yunguang 1 Luo, Xing-Yu 1 Mihalache, Dumitru 1 Niu, Fuxi 1 Ortoleva, Peter J. 1 Pankavich, Stephen 1 Pei, Xingzhi 1 Qi, Wang 1 Qian, Longjiang 1 Qiao, Lu-Yao 1 Qin, Na 1 Ruan, Jian 1 Rubinstein, Samuel M. 1 Sheng, Ying 1 Sigworth, Elizabeth A. 1 Sun, Junchao 1 Wan, Wen-Tao 1 Wang, Haibo 1 Wang, Ling ...and 22 more Co-Authors all top 5 Serials 57 Communications in Theoretical Physics 20 Chaos, Solitons and Fractals 18 Applied Mathematics and Computation 16 Communications in Nonlinear Science and Numerical Simulation 10 Applied Mathematics Letters 9 Journal of Mathematical Physics 8 Physica D 6 Physics Letters. A 6 Nonlinear Dynamics 6 International Journal of Modern Physics C 4 Computers & Mathematics with Applications 4 Journal of Physics A: Mathematical and Theoretical 3 Wave Motion 3 Chaos 3 Journal of Nonlinear Mathematical Physics 3 Nonlinear Analysis. Real World Applications 2 Computer Physics Communications 2 Applied Mathematics and Mechanics. (English Edition) 2 Chinese Annals of Mathematics. Series A 2 Chinese Annals of Mathematics. Series B 2 Acta Physica Sinica 1 Acta Mechanica 1 Houston Journal of Mathematics 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift fuer Naturforschung, A: Physical Sciences 1 Journal of Applied Probability 1 Mathematics and Computers in Simulation 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Acta Mathematicae Applicatae Sinica. English Series 1 Annals of Differential Equations 1 Numerical Algorithms 1 Annals of Physics 1 Communications in Statistics. Theory and Methods 1 International Journal of Computer Mathematics 1 Journal of Physics A: Mathematical and General 1 Stochastic Processes and their Applications 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Mathematical Theory and Application 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Analysis. Hybrid Systems 1 The Annals of Applied Statistics all top 5 Fields 170 Partial differential equations (35-XX) 89 Dynamical systems and ergodic theory (37-XX) 23 Numerical analysis (65-XX) 23 Computer science (68-XX) 23 Fluid mechanics (76-XX) 13 Probability theory and stochastic processes (60-XX) 9 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 7 Special functions (33-XX) 6 Mechanics of deformable solids (74-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 5 Nonassociative rings and algebras (17-XX) 5 Topological groups, Lie groups (22-XX) 5 Integral equations (45-XX) 5 Statistics (62-XX) 4 Difference and functional equations (39-XX) 3 Algebraic geometry (14-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Operator theory (47-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 175 Publications have been cited 2,179 times in 1,475 Documents Cited by ▼ Year ▼ Nonlocal symmetries related to Bäcklund transformation and their applications. Zbl 1248.37069 Lou, S. Y.; Hu, Xiaorui; Chen, Yong 84 2012 Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives. Zbl 1143.65102 Chen, Yong; An, Hong-Li 82 2008 Rogue wave and a pair of resonance stripe solitons to a reduced (3+1)-dimensional Jimbo-Miwa equation. Zbl 1510.35259 Zhang, Xiaoen; Chen, Yong 76 2017 Rogue wave solutions of AB system. Zbl 1306.37085 Wang, Xin; Li, Yuqi; Huang, Fei; Chen, Yong 55 2015 Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems. Zbl 1370.35076 Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-ichi 51 2015 Generalized Darboux transformation and localized waves in coupled Hirota equations. Zbl 1456.35189 Wang, Xin; Li, Yuqi; Chen, Yong 50 2014 Lump solutions and interaction phenomenon for \((2+1)\)-dimensional Sawada-Kotera equation. Zbl 1365.35137 Huang, Li-Li; Chen, Yong 49 2017 A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation. Zbl 1070.35073 Wang, Qi; Chen, Yong; Zhang, Hongqing 47 2005 Exact travelling wave solutions for a generalized Zakharov-Kuznetsov equation. Zbl 1037.35070 Li, Biao; Chen, Yong; Zhang, Hongqing 43 2003 Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to \((1+1)\)-dimensional dispersive long wave equation. Zbl 1072.35509 Chen, Yong; Wang, Qi 42 2005 Inverse scattering transformation for generalized nonlinear Schrödinger equation. Zbl 1428.35547 Zhang, Xiaoen; Chen, Yong 41 2019 Rogue wave and a pair of resonance stripe solitons to KP equation. Zbl 1442.35408 Zhang, Xiaoen; Chen, Yong; Tang, Xiaoyan 41 2018 Breather, lump and \(X\) soliton solutions to nonlocal KP equation. Zbl 1398.35210 Zhang, Xiaoen; Chen, Yong; Zhang, Yong 40 2017 A direct algorithm of one-dimensional optimal system for the group invariant solutions. Zbl 1316.35011 Hu, Xiaorui; Li, Yuqi; Chen, Yong 39 2015 New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation. Zbl 1006.35083 Chen, Yong; Yan, Zhenya; Zhang, Honging 38 2003 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 Localized waves and interaction solutions to an extended \((3+1)\)-dimensional Jimbo-Miwa equation. Zbl 1410.35161 Yue, Yunfei; Huang, Lili; Chen, Yong 32 2019 Binary Bell polynomial manipulations on the integrability of a generalized (2+1)-dimensional Korteweg-de Vries equation. Zbl 1258.35180 Wang, Yunhu; Chen, Yong 32 2013 Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Zbl 1038.35095 Li, Biao; Chen, Yong; Zhang, Hongqing 30 2003 High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem. Zbl 1414.35196 Yang, Bo; Chen, Yong 29 2019 \(N\)-solitons, breathers, lumps and rogue wave solutions to a \((3+1)\)-dimensional nonlinear evolution equation. Zbl 1409.35188 Yue, Yunfei; Huang, Lili; Chen, Yong 29 2018 General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis. Zbl 1398.35219 Zhang, Xiaoen; Chen, Yong 29 2018 The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. Zbl 1142.35603 Chen, Yong; Yan, Zhenya 28 2006 Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation. Zbl 1428.35451 Huang, Lili; Yue, Yunfei; Chen, Yong 28 2018 General projective Riccati equation method and exact solutions for generalized KdV-type and KdV-Burgers-type equations with nonlinear terms of any order. Zbl 1057.35051 Chen, Yong; Li, Biao 27 2004 Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations. Zbl 1412.35315 Yang, Bo; Chen, Yong 25 2018 ADM-Padé technique for the nonlinear lattice equations. Zbl 1162.65399 Yang, Pei; Chen, Yong; Li, Zhi-Bin 24 2009 Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. Zbl 1375.35511 Zhang, Guoqiang; Yan, Zhenya; Chen, Yong 24 2017 A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions. Zbl 1515.65264 Lin, Shuning; Chen, Yong 23 2022 Generalized extended tanh-function method and its application to \((1+1)\)-dimensional dispersive long wave equation. Zbl 1019.35059 Zheng, Xuedong; Chen, Yong; Zhang, Hongqing 22 2003 Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: exact interaction solutions and integrable hierarchy. Zbl 1302.37037 Chen, Junchao; Xin, Xiangpeng; Chen, Yong 22 2014 New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method. Zbl 1070.35058 Chen, Yong; Yan, Zhenya 21 2005 A deep learning method for solving third-order nonlinear evolution equations. Zbl 1520.68170 Li, Jun; Chen, Yong 21 2020 Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV-Burgers-type equations with nonlinear terms of any order. Zbl 1040.35100 Li, Biao; Chen, Yong; Zhang, Hongqing 20 2002 Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations. Zbl 1393.35184 Yang, Bo; Chen, Yong 20 2018 Integrability of the modified generalised Vakhnenko equation. Zbl 1296.37049 Wang, Yunhu; Chen, Yong 20 2012 Auto-Bäcklund transformation and exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order. Zbl 1005.35079 Li, Biao; Chen, Yong; Zhang, Hongqing 19 2002 Several reverse-time integrable nonlocal nonlinear equations: rogue-wave solutions. Zbl 1391.35362 Yang, Bo; Chen, Yong 19 2018 Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system. Zbl 1353.35023 Huang, Lili; Chen, Yong 19 2017 An extended Jacobi elliptic function rational expansion method and its application to \((2+1)\)-dimensional dispersive long wave equation. Zbl 1145.35358 Wang, Qi; Chen, Yong; Zhang, Hongqing 18 2005 The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems. Zbl 1136.93410 Chen, Yong; An, Hongli; Li, Zhibin 18 2008 PDEBellII: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations. Zbl 1344.37003 Miao, Qian; Wang, Yunhu; Chen, Yong; Yang, Yunqing 18 2014 Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional breaking soliton equation. Zbl 1510.35255 Cheng, Wen-guang; Li, Biao; Chen, Yong 18 2015 Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization. Zbl 1460.76125 Xu, Tao; Chen, Yong 18 2018 Solving second-order nonlinear evolution partial differential equations using deep learning. Zbl 1520.68171 Li, Jun; Chen, Yong 18 2020 PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. Zbl 1497.35440 Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong 18 2022 \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. Zbl 1491.35307 Peng, Wei-Qi; Chen, Yong 18 2022 Multiple Riccati equations rational expansion method and complexiton solutions of the Whitham-Broer-Kaup equation. Zbl 1195.35258 Chen, Yong; Wang, Qi 17 2005 Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations. Zbl 1080.35080 Chen, Yong; Wang, Qi; Li, Biao 16 2005 Generalized \(Q-S\) (lag, anticipated and complete) synchronization in modified Chua’s circuit and Hindmarsh-Rose systems. Zbl 1145.37312 Wang, Qi; Chen, Yong 16 2006 A multiple Riccati equations rational expansion method and novel solutions of the Broer-Kaup-Kupershmidt system. Zbl 1141.35443 Wang, Qi; Chen, Yong 15 2006 A new Jacobi elliptic function rational expansion method and its application to (1 + 1)-dimensional dispersive long wave equation. Zbl 1072.35510 Qi, Wang; Yong, Chen; Zhang, Hongqing 15 2005 On stable solitons and interactions of the generalized Gross-Pitaevskii equation with \(\mathcal{P} \mathcal{T}\)- and non-\(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1378.35286 Yan, Zhenya; Chen, Yong; Wen, Zichao 15 2016 Symbolic computation and construction of soliton-like solutions to the (2+1)-dimensional breaking soliton equation. Zbl 1167.37358 Chen, Yong; Li, Biao; Zhang, Hong-Qing 14 2003 Symbolic computation and construction of soliton-like solutions for a breaking soliton equation. Zbl 1037.81522 Li, Biao; Chen, Yong; Xuan, Hengnong; Zhang, Hongqing 14 2003 On exact solutions of the nonlinear Schrödinger equations in optical fiber. Zbl 1049.35169 Li, Biao; Chen, Yong 14 2004 The function cascade synchronization method and applications. Zbl 1221.93124 An, Hongli; Chen, Yong 14 2008 Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system. Zbl 1094.65104 Chen, Yong; Yan, Zhenya 13 2006 Generalized extended tanh-function method to construct new explicit exact solutions for the approximate equations for long water waves. Zbl 1083.76506 Chen, Yong; Yu, Zheng 13 2003 A new general algebraic method with symbolic computation to construct new travelling wave solution for the \((1+1)\)-dimensional dispersive long wave equation. Zbl 1082.65578 Chen, Yong; Wang, Qi 13 2005 Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations. Zbl 1508.78002 Huang, Lili; Chen, Yong 13 2019 Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive \(mK(m,n)\) equations. Zbl 1030.37049 Chen, Yong; Li, Biao; Zhang, Hongqing 12 2003 Binary Bell polynomials, bilinear approach to exact periodic wave solutions of (2 + 1)-dimensional nonlinear evolution equations. Zbl 1247.35136 Wang, Yun-Hu; Chen, Yong 12 2011 Exact solutions for two nonlinear wave equations with nonlinear terms of any order. Zbl 1054.35078 Chen, Yong; Li, Biao; Zhang, Hongqing 11 2005 Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation. Zbl 1454.35358 Yue, Yunfei; Huang, Lili; Chen, Yong 11 2020 Nonlocal symmetries and explicit solutions of the AKNS system. Zbl 1311.35297 Miao, Qian; Xin, Xiangpeng; Chen, Yong 10 2014 A unified rational expansion method to construct a series of explicit exact solutions to nonlinear evolution equations. Zbl 1094.65103 Chen, Yong; Wang, Qi 9 2006 The nonlinear Schrödinger equation with generalized nonlinearities and \(\mathcal{P} \mathcal{T}\)-symmetric potentials: stable solitons, interactions, and excitations. Zbl 1390.35344 Yan, Zhenya; Chen, Yong 9 2017 Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system. Zbl 1430.37076 Wang, Minmin; Chen, Yong 9 2019 The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach. Zbl 1524.35597 Pu, Juncai; Peng, Weiqi; Chen, Yong 9 2021 Construction of soliton-cnoidal wave interaction solution for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1314.35126 Cheng, Wen-Guang; Li, Biao; Chen, Yong 9 2015 New explicit solitary wave solutions and periodic wave solutions for the generalized coupled Hirota-Satsuma KdV system. Zbl 1267.76015 Chen, Yong; Yan, Zhen-Ya; Li, Biao; Zhang, Hong-Qing 9 2002 Nonlocal symmetry and similarity reductions for a \((2+1)\)-dimensional Korteweg-de Vries equation. Zbl 1398.35197 Huang, Lili; Chen, Yong 9 2018 Nonlocal symmetry constraints and exact interaction solutions of the \((2+1)\) dimensional modified generalized long dispersive wave equation. Zbl 1420.35311 Chen, Junchao; Chen, Yong 9 2014 Bi-Hamiltonian structure of multi-component Novikov equation. Zbl 1420.37074 Li, Hongmin; Li, Yuqi; Chen, Yong 9 2014 Exact solutions for a family of variable-coefficient “reaction–Duffing” equations via the Bäcklund transformation. Zbl 1129.35432 Chen, Yong; Yan, Zhenya; Zhang, Hongqing 8 2002 A new elliptic equation rational expansion method and its application to the shallow long wave approximate equations. Zbl 1088.65087 Chen, Yong; Wang, Qi 8 2006 Bell polynomials approach for two higher-order KdV-type equations in fluids. Zbl 1342.35313 Wang, Yunhu; Chen, Yong 8 2016 Symmetry reduction and exact solutions of the generalized Nizhnik-Novikov-Veselov equation. Zbl 1238.35110 Chen, Yong; Dong, ZhongZhou 7 2009 A series of soliton-like and double-like periodic solutions of a (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov equation. Zbl 1167.35461 Chen, Yong; Wang, Qi; Li, Biao 7 2004 A generalized method and general form solutions to the Whitham-Broer-Kaup equation. Zbl 1062.37094 Chen, Yong; Wang, Qi; Li, Biao 7 2004 A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup-Newell equation. Zbl 1486.35127 Zhu, Jin-Yan; Chen, Yong 7 2021 Double and triple pole solutions for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions. Zbl 1507.35262 Peng, Wei-Qi; Chen, Yong 7 2022 On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152 Chen, Yong; Huang, Lili; Liu, Yue 7 2020 Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation. Zbl 1331.65131 Feng, Bao-Feng; Chen, Junchao; Chen, Yong; Maruno, Ken-Ichi; Ohta, Yasuhiro 7 2015 Darboux transformation and \(N\)-soliton solution for extended form of modified Kadomtsev-Petviashvili equation with variable-coefficient. Zbl 1345.35092 Luo, Xing-Yu; Chen, Yong 7 2016 Constructing two-dimensional optimal system of the group invariant solutions. Zbl 1336.35027 Hu, Xiaorui; Li, Yuqi; Chen, Yong 7 2016 Infinitely many symmetries and symmetry reduction of \((2+1)\)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. Zbl 1212.35440 Zhang, Huanping; Chen, Yong; Li, Biao 7 2009 Prolongation structure of the equation studied by Qiao. Zbl 1247.37069 Yang, Yun-Qing; Chen, Yong 7 2011 Darboux transformations and \(N\)-soliton solutions of two \((2+1)\)-dimensional nonlinear equations. Zbl 1288.35426 Wang, Xin; Chen, Yong 7 2014 Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order. Zbl 1030.35120 Chen, Yong; Li, Biao; Zhang, Hongqing 6 2003 A series of new soliton-like solutions and double-like periodic solutions of a \((2 + 1)\)-dimensional dispersive long wave equation. Zbl 1069.35054 Chen, Yong; Wang, Qi 6 2005 Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions. Zbl 07653434 Lin, Shuning; Chen, Yong 6 2023 Semirational solutions to the coupled Fokas-Lenells equations. Zbl 1439.37072 Xu, Tao; Chen, Yong 6 2019 Multi-dimensional stable fundamental solitons and excitations in \(\mathcal{PT}\)-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. Zbl 1510.82006 Chen, Yong; Yan, Zhenya 6 2018 A physics-constrained deep residual network for solving the sine-Gordon equation. Zbl 1521.37099 Li, Jun; Chen, Yong 6 2021 Multi-component generalizations of the Hirota-Satsuma coupled KdV equation. Zbl 1314.35134 Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Zhu, Hanmin 6 2014 Full symmetry groups, Painlevé integrability and exact solutions of the nonisospectral BKP equation. Zbl 1202.35281 Zhang, Huan-ping; Li, Biao; Chen, Yong 6 2010 Bäcklund transformations and solutions of a generalized Kadomtsev-Petviashvili equation. Zbl 1247.37080 Wang, Yun-Hu; Chen, Yong 6 2012 An extended subequation rational expansion method with symbolic computation and solutions of the nonlinear Schrödinger equation model. Zbl 1156.35469 Chen, Yong; Li, Biao 5 2008 Physics-informed neural network methods based on Miura transformations and discovery of new localized wave solutions. Zbl 07653434 Lin, Shuning; Chen, Yong 6 2023 Data-driven forward-inverse problems for Yajima-Oikawa system using deep learning with parameter regularization. Zbl 1523.76019 Pu, Jun-Cai; Chen, Yong 3 2023 Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs. Zbl 07736381 Pu, Juncai; Chen, Yong 3 2023 High-order soliton solutions and their dynamics in the inhomogeneous variable coefficients Hirota equation. Zbl 1512.35148 Zhou, Hui-Juan; Chen, Yong 1 2023 \(L^\infty\)-norm convergence rates of an IMEX scheme for solving a partial integro-differential equation system arising from regime-switching jump-diffusion Asian option pricing. Zbl 07705626 Chen, Yong; Hu, Ruizi 1 2023 VC-PINN: variable coefficient physics-informed neural network for forward and inverse problems of PDEs with variable coefficient. Zbl 1527.35500 Miao, Zhengwu; Chen, Yong 1 2023 Bound-state soliton and rogue wave solutions for the sixth-order nonlinear Schrödinger equation via inverse scattering transform method. Zbl 07781115 Peng, Wei-Qi; Chen, Yong 1 2023 A two-stage physics-informed neural network method based on conserved quantities and applications in localized wave solutions. Zbl 1515.65264 Lin, Shuning; Chen, Yong 23 2022 PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. Zbl 1497.35440 Peng, Wei-Qi; Pu, Jun-Cai; Chen, Yong 18 2022 \(N\)-double poles solutions for nonlocal Hirota equation with nonzero boundary conditions using Riemann-Hilbert method and PINN algorithm. Zbl 1491.35307 Peng, Wei-Qi; Chen, Yong 18 2022 Double and triple pole solutions for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions. Zbl 1507.35262 Peng, Wei-Qi; Chen, Yong 7 2022 Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach. Zbl 1501.35351 Pu, Jun-cai; Chen, Yong 2 2022 Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. Zbl 1490.35401 Chen, Yong; Yan, Zhenya; Malomed, Boris A. 2 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 The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach. Zbl 1524.35597 Pu, Juncai; Peng, Weiqi; Chen, Yong 9 2021 A new form of general soliton solutions and multiple zeros solutions for a higher-order Kaup-Newell equation. Zbl 1486.35127 Zhu, Jin-Yan; Chen, Yong 7 2021 A physics-constrained deep residual network for solving the sine-Gordon equation. Zbl 1521.37099 Li, Jun; Chen, Yong 6 2021 Interaction phenomenon to (1+1)-dimensional Sharma-Tasso-Olver-Burgers equation. Zbl 1453.35049 Miao, Zhengwu; Hu, Xiaorui; Chen, Yong 4 2021 Darboux-Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation. Zbl 1524.35612 Yang, Yunqing; Dong, Huanhe; Chen, Yong 2 2021 A deep learning method for solving third-order nonlinear evolution equations. Zbl 1520.68170 Li, Jun; Chen, Yong 21 2020 Solving second-order nonlinear evolution partial differential equations using deep learning. Zbl 1520.68171 Li, Jun; Chen, Yong 18 2020 Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation. Zbl 1454.35358 Yue, Yunfei; Huang, Lili; Chen, Yong 11 2020 On the modelling of shallow-water waves with the Coriolis effect. Zbl 1431.35152 Chen, Yong; Huang, Lili; Liu, Yue 7 2020 Inverse scattering transformation for generalized nonlinear Schrödinger equation. Zbl 1428.35547 Zhang, Xiaoen; Chen, Yong 41 2019 Localized waves and interaction solutions to an extended \((3+1)\)-dimensional Jimbo-Miwa equation. Zbl 1410.35161 Yue, Yunfei; Huang, Lili; Chen, Yong 32 2019 High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem. Zbl 1414.35196 Yang, Bo; Chen, Yong 29 2019 Localized excitations and interactional solutions for the reduced Maxwell-Bloch equations. Zbl 1508.78002 Huang, Lili; Chen, Yong 13 2019 Dynamic behaviors of mixed localized solutions for the three-component coupled Fokas-Lenells system. Zbl 1430.37076 Wang, Minmin; Chen, Yong 9 2019 Semirational solutions to the coupled Fokas-Lenells equations. Zbl 1439.37072 Xu, Tao; Chen, Yong 6 2019 Rogue wave and a pair of resonance stripe solitons to KP equation. Zbl 1442.35408 Zhang, Xiaoen; Chen, Yong; Tang, Xiaoyan 41 2018 \(N\)-solitons, breathers, lumps and rogue wave solutions to a \((3+1)\)-dimensional nonlinear evolution equation. Zbl 1409.35188 Yue, Yunfei; Huang, Lili; Chen, Yong 29 2018 General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis. Zbl 1398.35219 Zhang, Xiaoen; Chen, Yong 29 2018 Localized waves and interaction solutions to a \((3+1)\)-dimensional generalized KP equation. Zbl 1428.35451 Huang, Lili; Yue, Yunfei; Chen, Yong 28 2018 Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations. Zbl 1412.35315 Yang, Bo; Chen, Yong 25 2018 Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations. Zbl 1393.35184 Yang, Bo; Chen, Yong 20 2018 Several reverse-time integrable nonlocal nonlinear equations: rogue-wave solutions. Zbl 1391.35362 Yang, Bo; Chen, Yong 19 2018 Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization. Zbl 1460.76125 Xu, Tao; Chen, Yong 18 2018 Nonlocal symmetry and similarity reductions for a \((2+1)\)-dimensional Korteweg-de Vries equation. Zbl 1398.35197 Huang, Lili; Chen, Yong 9 2018 Multi-dimensional stable fundamental solitons and excitations in \(\mathcal{PT}\)-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. Zbl 1510.82006 Chen, Yong; Yan, Zhenya 6 2018 One- and two-dimensional gap solitons and dynamics in the \(\mathcal{PT}\)-symmetric lattice potential and spatially-periodic momentum modulation. Zbl 1510.35293 Chen, Yong; Yan, Zhenya; Li, Xin 4 2018 A direct algorithm Maple package of one-dimensional optimal system for group invariant solutions. Zbl 1387.17002 Zhang, Lin; Han, Zhong; Chen, Yong 3 2018 Higher-order rogue wave pairs in the coupled cubic-quintic nonlinear Schrödinger equations. Zbl 1451.35203 Xu, Tao; Chan, Wai-Hong; Chen, Yong 3 2018 Rogue wave and a pair of resonance stripe solitons to a reduced (3+1)-dimensional Jimbo-Miwa equation. Zbl 1510.35259 Zhang, Xiaoen; Chen, Yong 76 2017 Lump solutions and interaction phenomenon for \((2+1)\)-dimensional Sawada-Kotera equation. Zbl 1365.35137 Huang, Li-Li; Chen, Yong 49 2017 Breather, lump and \(X\) soliton solutions to nonlocal KP equation. Zbl 1398.35210 Zhang, Xiaoen; Chen, Yong; Zhang, Yong 40 2017 Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. Zbl 1375.35511 Zhang, Guoqiang; Yan, Zhenya; Chen, Yong 24 2017 Nonlocal symmetry and similarity reductions for the Drinfeld-Sokolov-Satsuma-Hirota system. Zbl 1353.35023 Huang, Lili; Chen, Yong 19 2017 The nonlinear Schrödinger equation with generalized nonlinearities and \(\mathcal{P} \mathcal{T}\)-symmetric potentials: stable solitons, interactions, and excitations. Zbl 1390.35344 Yan, Zhenya; Chen, Yong 9 2017 General bright-dark soliton solution to \((2+1)\)-dimensional multi-component long-wave-short-wave resonance interaction system. Zbl 1375.35071 Chen, Junchao; Feng, Bao-Feng; Chen, Yong; Ma, Zhengyi 5 2017 Classification of dark modified KdV equation. Zbl 1370.35242 Xiong, Na; Lou, Sen-Yue; Li, Biao; Chen, Yong 3 2017 Symmetry analysis and exact solutions of the 2D unsteady incompressible boundary-layer equations. Zbl 1357.76016 Han, Zhong; Chen, Yong 1 2017 On stable solitons and interactions of the generalized Gross-Pitaevskii equation with \(\mathcal{P} \mathcal{T}\)- and non-\(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1378.35286 Yan, Zhenya; Chen, Yong; Wen, Zichao 15 2016 Bell polynomials approach for two higher-order KdV-type equations in fluids. Zbl 1342.35313 Wang, Yunhu; Chen, Yong 8 2016 Darboux transformation and \(N\)-soliton solution for extended form of modified Kadomtsev-Petviashvili equation with variable-coefficient. Zbl 1345.35092 Luo, Xing-Yu; Chen, Yong 7 2016 Constructing two-dimensional optimal system of the group invariant solutions. Zbl 1336.35027 Hu, Xiaorui; Li, Yuqi; Chen, Yong 7 2016 An integrable semi-discretization of the coupled Yajima-Oikawa system. Zbl 1343.37063 Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro 5 2016 Nonlocal symmetry and interaction solutions of a generalized Kadomtsev-Petviashvili equation. Zbl 1345.35090 Huang, Li-Li; Chen, Yong; Ma, Zheng-Yi 3 2016 One-dimensional optimal system and similarity reductions of Wu-Zhang equation. Zbl 1345.35086 Xiong, Na; Li, Yu-Qi; Chen, Jun-Chao; Chen, Yong 3 2016 Rogue wave solutions of AB system. Zbl 1306.37085 Wang, Xin; Li, Yuqi; Huang, Fei; Chen, Yong 55 2015 Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems. Zbl 1370.35076 Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-ichi 51 2015 A direct algorithm of one-dimensional optimal system for the group invariant solutions. Zbl 1316.35011 Hu, Xiaorui; Li, Yuqi; Chen, Yong 39 2015 Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional breaking soliton equation. Zbl 1510.35255 Cheng, Wen-guang; Li, Biao; Chen, Yong 18 2015 Construction of soliton-cnoidal wave interaction solution for the \((2+1)\)-dimensional breaking soliton equation. Zbl 1314.35126 Cheng, Wen-Guang; Li, Biao; Chen, Yong 9 2015 Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation. Zbl 1331.65131 Feng, Bao-Feng; Chen, Junchao; Chen, Yong; Maruno, Ken-Ichi; Ohta, Yasuhiro 7 2015 Reciprocal transformations of two Camassa-Holm type equations. Zbl 1330.35382 Li, Hong-Min; Li, Yu-Qi; Chen, Yong 2 2015 Generalized Darboux transformation and localized waves in coupled Hirota equations. Zbl 1456.35189 Wang, Xin; Li, Yuqi; Chen, Yong 50 2014 Nonlocal symmetries of the Hirota-Satsuma coupled Korteweg-de Vries system and their applications: exact interaction solutions and integrable hierarchy. Zbl 1302.37037 Chen, Junchao; Xin, Xiangpeng; Chen, Yong 22 2014 PDEBellII: a Maple package for finding bilinear forms, bilinear Bäcklund transformations, Lax pairs and conservation laws of the KdV-type equations. Zbl 1344.37003 Miao, Qian; Wang, Yunhu; Chen, Yong; Yang, Yunqing 18 2014 Nonlocal symmetries and explicit solutions of the AKNS system. Zbl 1311.35297 Miao, Qian; Xin, Xiangpeng; Chen, Yong 10 2014 Nonlocal symmetry constraints and exact interaction solutions of the \((2+1)\) dimensional modified generalized long dispersive wave equation. Zbl 1420.35311 Chen, Junchao; Chen, Yong 9 2014 Bi-Hamiltonian structure of multi-component Novikov equation. Zbl 1420.37074 Li, Hongmin; Li, Yuqi; Chen, Yong 9 2014 Darboux transformations and \(N\)-soliton solutions of two \((2+1)\)-dimensional nonlinear equations. Zbl 1288.35426 Wang, Xin; Chen, Yong 7 2014 Multi-component generalizations of the Hirota-Satsuma coupled KdV equation. Zbl 1314.35134 Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Zhu, Hanmin 6 2014 Nonlocal symmetries and explicit solutions of the Boussinesq equation. Zbl 1304.35577 Xin, Xiangpeng; Chen, Junchao; Chen, Yong 5 2014 Bell polynomials approach applied to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation. Zbl 1474.35560 Cheng, Wen-guang; Li, Biao; Chen, Yong 4 2014 An integrable discrete generalized nonlinear Schrödinger equation and its reductions. Zbl 1304.35647 Li, Hong-Min; Li, Yu-Qi; Chen, Yong 1 2014 A Laplace decomposition method for nonlinear partial differential equations with nonlinear term of any order. Zbl 1284.65148 Zhu, Hai-Xing; An, Hong-Li; Chen, Yong 1 2014 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 Binary Bell polynomial manipulations on the integrability of a generalized (2+1)-dimensional Korteweg-de Vries equation. Zbl 1258.35180 Wang, Yunhu; Chen, Yong 32 2013 The using of conservation laws in symmetry-preserving difference scheme. Zbl 1270.65051 Xin, Xiang-Peng; Chen, Yong 2 2013 Nonlocal symmetries related to Bäcklund transformation and their applications. Zbl 1248.37069 Lou, S. Y.; Hu, Xiaorui; Chen, Yong 84 2012 Integrability of the modified generalised Vakhnenko equation. Zbl 1296.37049 Wang, Yunhu; Chen, Yong 20 2012 Bäcklund transformations and solutions of a generalized Kadomtsev-Petviashvili equation. Zbl 1247.37080 Wang, Yun-Hu; Chen, Yong 6 2012 A direct procedure on the integrability of nonisospectral and variable-coefficient MKdV equation. Zbl 1246.35180 Hu, Xiaorui; Chen, Yong 4 2012 Nonlocal symmetries and exact solutions for PIB equation. Zbl 1264.37032 Xin, Xiang-Peng; Miao, Qian; Chen, Yong 4 2012 Conservation laws and self-consistent sources for a super integrable equation hierarchy. Zbl 1264.37018 Wang, Yun-Hu; Chen, Yong 1 2012 Binary Bell polynomials, bilinear approach to exact periodic wave solutions of (2 + 1)-dimensional nonlinear evolution equations. Zbl 1247.35136 Wang, Yun-Hu; Chen, Yong 12 2011 Prolongation structure of the equation studied by Qiao. Zbl 1247.37069 Yang, Yun-Qing; Chen, Yong 7 2011 Binary Bell polynomials approach to generalized Nizhnik-Novikov-Veselov equation. Zbl 1247.37059 Hu, Xiao-Rui; Chen, Yong 4 2011 Pseudopotentials, Lax pairs and Bäcklund transformations for generalized fifth-order KdV equation. Zbl 1219.35270 Yang, Yun-Qing; Chen, Yong 2 2011 Full symmetry groups and similar reductions of a \((2+1)\)-dimensional resonant Davey-Stewartson system. Zbl 1264.81244 Hu, Xiao-Rui; Chen, Yong; Qian, Long-Jiang 2 2011 Full symmetry groups, Painlevé integrability and exact solutions of the nonisospectral BKP equation. Zbl 1202.35281 Zhang, Huan-ping; Li, Biao; Chen, Yong 6 2010 Bäcklund transformations and explicit solutions of \((2+1)\)-dimensional barotropic and quasi-geostrophic potential vorticity equation. Zbl 1218.86001 Hu, Xiao-Rui; Chen, Yong 3 2010 ADM-Padé technique for the nonlinear lattice equations. Zbl 1162.65399 Yang, Pei; Chen, Yong; Li, Zhi-Bin 24 2009 Symmetry reduction and exact solutions of the generalized Nizhnik-Novikov-Veselov equation. Zbl 1238.35110 Chen, Yong; Dong, ZhongZhou 7 2009 Infinitely many symmetries and symmetry reduction of \((2+1)\)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. Zbl 1212.35440 Zhang, Huanping; Chen, Yong; Li, Biao 7 2009 Anticipated function synchronization with unknown parameters of discrete-time chaotic systems. Zbl 1179.37051 Li, Yin; Li, Biao; Chen, Yong 5 2009 The function cascade synchronization scheme for discrete-time hyperchaotic systems. Zbl 1221.34119 An, Hong-Li; Chen, Yong 5 2009 Adaptive control and function projective synchronization in 2D discrete-time chaotic systems. Zbl 1171.93340 Li, Yin; Chen, Yong; Li, Biao 4 2009 Two-dimensional symmetry reduction of \((2+1)\)-dimensional nonlinear Klein-Gordon equation. Zbl 1176.35145 Hu, Xiao-Rui; Chen, Yong 4 2009 ...and 75 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,864 Authors 70 Chen, Yong 51 Tian, Shoufu 39 Yan, Zhenya 33 Zhang, Tiantian 28 He, Jingsong 27 Li, Biao 25 Wang, Xiubin 25 Zhang, Hongqing 24 Ma, Wen-Xiu 24 Wazwaz, Abdul-Majid Abdul-Rahman 23 Ren, Bo 22 Chen, Junchao 21 Zhang, Yufeng 19 Dong, Huanhe 19 Gao, Yitian 19 Zayed, Elsayed M. 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