Edit Profile (opens in new tab) Yan, Zhenya Co-Author Distance Author ID: yan.zhenya Published as: Yan, Zhenya; Yan, Zhen-Ya; Yan, Zhen Ya; Yan, Zhen-ya; Yan, Z.; Yan, Zhengya more...less External Links: ORCID · Google Scholar · dblp Documents Indexed: 256 Publications since 1999, including 1 Book and 22 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 1 Review Co-Authors: 53 Co-Authors with 161 Joint Publications 2,593 Co-Co-Authors all top 5 Co-Authors 94 single-authored 44 Zhang, Hongqing 19 Zhang, Guoqiang 16 Chen, Yong 14 Zhou, Zijian 13 Weng, Weifang 10 Wang, Li 9 Song, Jin 9 Wen, Xiaoyong 8 Xie, Fuding 7 Chen, Shuyan 7 Guo, Boling 7 Malomed, Boris A. 7 Wen, Zichao 5 Konotop, Vladimir V. 5 Yang, Yunqing 5 Zhang, Minghe 4 Li, Xin 4 Mihalache, Dumitru 4 Qin, Guoquan 4 Zhong, Ming 3 Hang, Chao 3 Jiang, Dongmei 3 Ling, Liming 3 Yu, Pei 2 Bluman, George Wallace 2 Chow, Kwok Wing 2 Dong, Huanhe 2 Tian, Shoufu 2 Wang, Xin 2 Xia, Tie-Cheng 1 Akhmediev, Nail N. 1 Chen, Junchao 1 Chen, Yong 1 Dai, Chaoqing 1 Dwivedi, C. B. 1 Fan, Engui 1 Gong, Shibo 1 Han, Wenjing 1 Karmakar, P. K. 1 Krishnan, Edamana Vasudevan 1 Lai, Derek W. C. 1 Li, Biao 1 Li, Hongbo 1 Qiao, Zhijun 1 Rogers, Colin 1 Shen, Yujia 1 Tian, Lixin 1 Wang, Dengshan 1 Wang, Yufeng 1 Wu, Zekang 1 Yan, Fangchi 1 Yang, Yong 1 Yang, Zhengzheng 1 Yu, Fajun 1 Yulin, A. V. all top 5 Serials 29 Chaos, Solitons and Fractals 26 Physics Letters. A 19 Communications in Theoretical Physics 17 Chaos 16 Physica D 10 Communications in Nonlinear Science and Numerical Simulation 9 Applied Mathematics and Mechanics. (English Edition) 9 Applied Mathematics Letters 7 Applied Mathematics and Computation 6 Computer Physics Communications 6 Journal of Mathematical Physics 5 Computers & Mathematics with Applications 5 Acta Physica Sinica 5 Journal of Physics A: Mathematical and General 4 Journal of Mathematical Analysis and Applications 4 Mathematica Applicata 4 International Journal of Modern Physics C 4 Journal of Yantai University. Natural Science and Engineering 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Monatshefte für Mathematik 3 Nonlinear Dynamics 3 Physica Scripta 2 Wave Motion 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Dalian University of Technology 2 Journal of Nonlinear Science 2 Journal of the Physical Society of Japan 1 IMA Journal of Applied Mathematics 1 Physica A 1 Theoretical and Mathematical Physics 1 Studies in Applied Mathematics 1 Journal of Mathematical Research & Exposition 1 Journal of Lanzhou University. Natural Sciences 1 Acta Scientiarum Naturalium Universitatis Jilinensis 1 Journal of Systems Science and Mathematical Sciences 1 European Journal of Applied Mathematics 1 Annals of Physics 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Pure and Applied Mathematics 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Mathematical Physics, Analysis and Geometry 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 201 Partial differential equations (35-XX) 117 Dynamical systems and ergodic theory (37-XX) 22 Fluid mechanics (76-XX) 21 Quantum theory (81-XX) 20 Computer science (68-XX) 14 Optics, electromagnetic theory (78-XX) 11 Ordinary differential equations (34-XX) 10 Numerical analysis (65-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Systems theory; control (93-XX) 7 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 190 Publications have been cited 2,413 times in 1,539 Documents Cited by ▼ Year ▼ New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water. Zbl 0969.76518 Yan, Z.; Zhang, H. 93 2001 New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations. Zbl 1092.35524 Yan, Zhenya 88 2001 Financial rogue waves. Zbl 1219.91143 Yan, Zhen-Ya 87 2010 Vector financial rogue waves. Zbl 1254.91190 Yan, Zhenya 82 2011 Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method. Zbl 1069.37060 Yan, Zhenya 75 2003 Controlling hyperchaos in the new hyperchaotic Chen system. Zbl 1160.93384 Yan, Zhenya 64 2005 Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. Zbl 1322.35132 Yan, Zhenya 59 2015 New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics. Zbl 0938.35130 Yan, Zhenya; Zhang, Hongqing 55 1999 Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients. Zbl 1235.35266 Yan, Zhenya 46 2010 Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres. Zbl 1035.78006 Yan, Zhenya 44 2003 Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in \((2+1)\)-dimensional spaces. Zbl 0970.35147 Yan, Zhen-ya; Zhang, Hong-qing 41 2001 Explicit and exact traveling wave solutions of Whitham-Broer-Kaup shallow water equations. Zbl 0969.76517 Xie, F.; Yan, Z.; Zhang, H. 40 2001 Q-S (lag or anticipated) synchronization backstepping scheme in a class of continuous-time hyperchaotic systems – a symbolic-numeric computation approach. Zbl 1080.93008 Yan, Zhenya 37 2005 Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation. Zbl 1374.37092 Wen, Xiao-Yong; Yan, Zhenya 37 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 36 2003 Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069 Zhang, Guoqiang; Yan, Zhenya 34 2020 An improved algebra method and its applications in nonlinear wave equations. Zbl 1046.35103 Yan, Zhenya 32 2004 An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a \(4 \times 4\) Lax pair on the half-line. Zbl 1394.35486 Yan, Zhenya 31 2017 Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation. Zbl 1374.35392 Yang, Yunqing; Yan, Zhenya; Malomed, Boris A. 30 2015 Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability. Zbl 1378.35284 Wen, Xiao-Yong; Yan, Zhenya; Malomed, Boris A. 30 2016 New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion. Zbl 1038.35082 Yan, Zhenya 29 2002 The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. Zbl 1142.35603 Chen, Yong; Yan, Zhenya 28 2006 The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. Zbl 1462.35372 Zhang, Guoqiang; Yan, Zhenya 26 2020 New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation. Zbl 1045.35072 Yan, Zhenya 25 2003 Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics. Zbl 1470.35343 Zhang, Guoqiang; Yan, Zhenya 25 2018 The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Zbl 1428.37063 Chen, Shuyan; Yan, Zhenya 25 2019 Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions. Zbl 1351.35197 Yan, Zhenya 24 2016 New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations. Zbl 1196.68338 Yan, Zhenya; Bluman, George 23 2002 Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning. Zbl 07409914 Wang, Li; Yan, Zhenya 23 2021 The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system. Zbl 1037.35074 Yan, Zhenya 21 2003 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 21 2017 Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller. Zbl 1222.37093 Yan, Zhenya 20 2005 New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method. Zbl 1070.35058 Chen, Yong; Yan, Zhenya 20 2005 The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020 Zhang, Guoqiang; Yan, Zhenya; Wang, Li 20 2019 Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions. Zbl 1450.35297 Zhang, Guoqiang; Chen, Shuyan; Yan, Zhenya 20 2020 Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas. Zbl 1231.76362 Yan, Zhenya 19 2009 Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics. Zbl 1381.35014 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 19 2018 Nonclassical potential solutions of partial differential equations. Zbl 1084.35005 Bluman, George W.; Yan, Zhenya 19 2005 Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 19 2017 Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions. Zbl 1492.35292 Zhang, Guoqiang; Yan, Zhenya 19 2020 Symmetry groups and exact solutions of new \((4+1)\)-dimensional Fokas equation. Zbl 1177.35210 Yang, Zheng-Zheng; Yan, Zhen-Ya 18 2009 Chaos Q-S synchronization between Rössler system and the new unified chaotic system. Zbl 1123.37312 Yan, Zhenya 18 2005 Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1198.35263 Yan, Zhenya; Chow, K. W.; Malomed, Boris A. 18 2009 Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252 Zhang, Guoqiang; Ling, Liming; Yan, Zhenya 18 2021 The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375 Zhang, Guoqiang; Yan, Zhenya 18 2018 Extended Jacobian elliptic function algorithm with symbolic computation to construct new doubly-periodic solutions of nonlinear differential equations. Zbl 1196.33017 Yan, Zhenya 17 2002 Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation. Zbl 1414.35212 Wen, Xiao-Yong; Yan, Zhenya 17 2018 Solitons and their stability in the nonlocal nonlinear Schrödinger equation with \(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1390.35343 Wen, Zichao; Yan, Zhenya 16 2017 The new tri-function method to multiple exact solutions of nonlinear wave equations. Zbl 1155.35427 Yan, Zhenya 16 2008 Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations. Zbl 1465.76022 Wen, Xiao-Yong; Yan, Zhenya 15 2017 The new constructive algorithm and symbolic computation applied to exact solutions of nonlinear wave equations. Zbl 1123.35348 Yan, Zhenya 14 2004 Envelope compact and solitary pattern structures for the \(\text{GNLS}(m,n,p,q)\) equations. Zbl 1236.35176 Yan, Zhenya 14 2006 Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning. Zbl 1484.35134 Wang, Li; Yan, Zhenya 14 2021 Multi-dark-dark solitons of the integrable repulsive AB system via the determinants. Zbl 1388.37077 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 13 2017 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 Q-S (complete or anticipated) synchronization backstepping scheme in a class of discrete-time chaotic (hyperchaotic) systems: A symbolic-numeric computation approach. Zbl 1144.37420 Yan, Zhenya 13 2006 The Riccati equation with variable coefficients expansion algorithm to find more exact solutions of nonlinear differential equations. Zbl 1196.35068 Yan, Zhenya 13 2003 Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning. Zbl 1472.81089 Zhou, Zijian; Yan, Zhenya 13 2021 Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042 Yan, Zhenya; Yu, Pei 12 2008 Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430 Yan, Zhenya; Yu, Pei 12 2007 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 12 2016 Stable flat-top solitons and peakons in the \(\mathcal{PT}\)-symmetric \(\delta\)-signum potentials and nonlinear media. Zbl 1428.35496 Chen, Yong; Yan, Zhenya; Mihalache, Dumitru 12 2019 A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems. Zbl 1080.37040 Yan, Zhenya 11 2005 A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations. Zbl 1069.35077 Yan, Zhenya 11 2005 A nonlinear control scheme to anticipated and complete synchronization in discrete-time chaotic (hyperchaotic) systems. Zbl 1194.37065 Yan, Zhenya 11 2005 Rogue waves. Mathematical theory and applications in physics. Zbl 1378.76002 Guo, Boling; Tian, Lixin; Yan, Zhenya; Ling, Liming; Wang, Yu-Feng 11 2017 The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons. Zbl 1476.81033 Chen, Shuyan; Yan, Zhenya 11 2019 Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions. Zbl 07411289 Weng, Weifang; Yan, Zhenya 11 2021 Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a \(4\times 4\) Lax pair on a finite interval. Zbl 1421.37029 Yan, Zhenya 11 2019 Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients. Zbl 1431.35147 Yan, Zhenya; Jiang, Dongmei 10 2012 Constructing families of soliton-like solutions to a \((2+1)\)-dimensional breaking soliton equation using symbolic computation. Zbl 1030.35141 Yan, Zhen-Ya; Zhang, Hong-Qing 10 2002 A transformation with symbolic computation and abundant new soliton-like solutions for the \((1+2)\)-dimensional generalized Burgers equation. Zbl 1040.35103 Yan, Zhenya 10 2002 Envelope exact solutions for the generalized nonlinear Schrödinger equation with a source. Zbl 1096.81008 Yan, Zhenya 10 2006 Localized analytical solutions and parameters analysis in the nonlinear dispersive Gross-Pitaevskii mean-field \(\mathrm{GP}(m,n)\) model with space-modulated nonlinearity and potential. Zbl 1288.35440 Yan, Zhenya 10 2014 Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions. Zbl 1196.35192 Yan, Zhenya 10 2003 Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1216.35147 Yan, Zhenya 9 2011 Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: spin-rotation symmetry, matter-wave solutions, and dynamics. Zbl 1390.35342 Wen, Zichao; Yan, Zhenya 9 2017 A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations. Zbl 1048.35106 Yan, Zhenya 9 2003 Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions. Zbl 1068.35148 Yan, Zhenya 9 2003 New compacton-like and solitary patterns-like solutions to nonlinear wave equations with linear dispersion terms. Zbl 1091.35084 Yan, Zhenya 9 2006 New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Zbl 1334.37086 Yu, Fajun; Yan, Zhenya 9 2014 Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials. Zbl 1364.35344 Wen, Zi-Chao; Yan, Zhenya 9 2015 A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. Zbl 1461.37073 Yan, Zhenya 9 2018 New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems. Zbl 1170.35088 Yan, Zhenya 8 2007 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 8 2017 Symmetry reductions and soliton-like solutions for the variable coefficient MKdV equations. Zbl 0942.35158 Yan, Zhenya 8 1999 A reduction mKdV method with symbolic computation to construct new doubly-periodic solutions for nonlinear wave equations. Zbl 1082.35518 Yan, Zhenya 8 2003 Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations. Zbl 1155.35444 Wang, Deng-Shan; Yan, Zhenya; Li, Hongbo 8 2008 Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant. Zbl 1151.35421 Yan, Zhenya 8 2007 Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms. Zbl 1347.37120 Yang, Yunqing; Wang, Xin; Yan, Zhenya 8 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 8 2002 Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365 Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V. 8 2021 Globally exponential hyperchaos (LAG) synchronization in a family of modified hyperchaotic Rössler systems. Zbl 1139.93028 Yan, Zhenya; Yu, Pei 7 2007 Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients. Zbl 1238.35148 Yan, Zhenya 7 2010 Optical solitary wave solutions to nonlinear Schrödinger equation with cubic-quintic nonlinearity in non-Kerr media. Zbl 1065.81143 Yan, Zhenya 7 2004 Exact solutions for a family of variable-coefficient “reaction–Duffing” equations via the Bäcklund transformation. Zbl 1129.35432 Chen, Yong; Yan, Zhenya; Zhang, Hongqing 7 2002 Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms. Zbl 1317.35246 Yang, Yunqing; Yan, Zhenya; Mihalache, Dumitru 7 2015 New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies. Zbl 1508.35205 Yan, Zhenya 7 2022 Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459 Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya 7 2022 Similarity transformations and exact solutions for a family of higher-dimensional generalized Boussinesq equations. Zbl 1170.35089 Yan, Zhenya 6 2007 Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy. Zbl 1506.35037 Zhang, Minghe; Weng, Weifang; Yan, Zhenya 3 2023 Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equations. Zbl 07683358 Song, Jin; Yan, Zhenya 2 2023 The Cauchy problem and multi-peakons for the mCH-Novikov-CH equation with quadratic and cubic nonlinearities. Zbl 07781541 Qin, Guoquan; Yan, Zhenya; Guo, Boling 1 2023 Deep learning data-driven multi-soliton dynamics and parameters discovery for the fifth-order Kaup-Kuperschmidt equation. Zbl 07736392 Wang, Xiaoli; Wu, Zekang; Han, Wenjing; Yan, Zhenya 1 2023 Soliton formation and dynamics in the quintic nonlinear media with \(\mathcal{PT}\)-invariant harmonic-Gaussian potential. Zbl 1518.81066 Li, Xin; Wang, Li; Yan, Zhenya 1 2023 Stable matter-wave solitons, interactions, and excitations in the spinor \(F=1\) Bose-Einstein condensates with \(\mathcal{PT}\)- and non-\(\mathcal{PT}\)-symmetric potentials. Zbl 1518.81134 Zhong, Ming; Yan, Zhenya; Tian, Shou-Fu 1 2023 Wave-breaking analysis and weak multi-peakon solutions for a generalized cubic-quintic Camassa-Holm type equation. Zbl 1510.35034 Weng, Weifang; Qiao, Zhijun; Yan, Zhenya 1 2023 New integrable multi-Lévy-index and mixed fractional nonlinear soliton hierarchies. Zbl 1508.35205 Yan, Zhenya 7 2022 Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. Zbl 1490.35459 Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya 7 2022 Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning. Zbl 1496.35373 Zhong, Ming; Gong, Shibo; Tian, Shou-Fu; Yan, Zhenya 6 2022 Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds. Zbl 1479.35216 Weng, Weifang; Zhang, Guoqiang; Zhou, Zijian; Yan, Zhenya 3 2022 Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation. Zbl 1487.35061 Qin, Guoquan; Yan, Zhenya; Guo, Boling 3 2022 \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations. Zbl 1490.35453 Song, Jin; Zhou, Zijian; Weng, Weifang; Yan, Zhenya 2 2022 The Cauchy problem and wave-breaking phenomenon for a generalized sine-type FORQ/mCH equation. Zbl 1491.35069 Qin, Guoquan; Yan, Zhenya; Guo, Boling 2 2022 Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities. Zbl 1516.81207 Song, Jin; Yan, Zhenya 2 2022 Data-driven soliton mappings for integrable fractional nonlinear wave equations via deep learning with Fourier neural operator. Zbl 1507.37118 Zhong, Ming; Yan, Zhenya 2 2022 Data-driven discoveries of Bäcklund transformations and soliton evolution equations via deep neural network learning schemes. Zbl 07600402 Zhou, Zijian; Wang, Li; Yan, Zhenya 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 A sine-type Camassa-Holm equation: local well-posedness, Hölder continuity, and wave-breaking analysis. Zbl 1500.35098 Qin, Guoquan; Yan, Zhenya; Guo, Boling 1 2022 \(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method. Zbl 1524.35568 Zhang, Minghe; Weng, Weifang; Yan, Zhenya 1 2022 Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrödinger equation with a potential using the PINN deep learning. Zbl 07409914 Wang, Li; Yan, Zhenya 23 2021 Multi-component nonlinear Schrödinger equations with nonzero boundary conditions: higher-order vector Peregrine solitons and asymptotic estimates. Zbl 1476.35252 Zhang, Guoqiang; Ling, Liming; Yan, Zhenya 18 2021 Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning. Zbl 1484.35134 Wang, Li; Yan, Zhenya 14 2021 Solving forward and inverse problems of the logarithmic nonlinear Schrödinger equation with \(\mathcal{PT}\)-symmetric harmonic potential via deep learning. Zbl 1472.81089 Zhou, Zijian; Yan, Zhenya 13 2021 Inverse scattering and \(N\)-triple-pole soliton and breather solutions of the focusing nonlinear Schrödinger hierarchy with nonzero boundary conditions. Zbl 07411289 Weng, Weifang; Yan, Zhenya 11 2021 Parity-time-symmetric rational vector rogue waves of the \(n\)-component nonlinear Schrödinger equation. Zbl 1465.35365 Zhang, Guoqiang; Ling, Liming; Yan, Zhenya; Konotop, Vladimir V. 8 2021 Rational vector rogue waves for the \(n\)-component Hirota equation with non-zero backgrounds. Zbl 1483.78005 Weng, Weifang; Zhang, Guoqiang; Wang, Li; Zhang, Minghe; Yan, Zhenya 6 2021 Deep learning neural networks for the third-order nonlinear Schrödinger equation: bright solitons, breathers, and rogue waves. Zbl 1514.35421 Zhou, Zijian; Yan, Zhenya 6 2021 Long-time asymptotics of solutions for the coupled dispersive AB system with initial value problems. Zbl 1462.35229 Chen, Shuyan; Yan, Zhenya 6 2021 Rogue wave formation and interactions in the defocusing nonlinear Schrödinger equation with external potentials. Zbl 1451.35201 Wang, Li; Yan, Zhenya 5 2021 Long-time asymptotics for the focusing Hirota equation with non-zero boundary conditions at infinity via the Deift-Zhou approach. Zbl 1477.35110 Chen, Shuyan; Yan, Zhenya; Guo, Boling 3 2021 An initial-boundary value problem for the general three-component nonlinear Schrödinger equations on a finite interval. Zbl 1477.35248 Yan, Zhenya 3 2021 Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions. Zbl 1453.37069 Zhang, Guoqiang; Yan, Zhenya 34 2020 The derivative nonlinear Schrödinger equation with zero/nonzero boundary conditions: inverse scattering transforms and \(N\)-double-pole solutions. Zbl 1462.35372 Zhang, Guoqiang; Yan, Zhenya 26 2020 Focusing and defocusing Hirota equations with non-zero boundary conditions: inverse scattering transforms and soliton solutions. Zbl 1450.35297 Zhang, Guoqiang; Chen, Shuyan; Yan, Zhenya 20 2020 Focusing and defocusing mKdV equations with nonzero boundary conditions: inverse scattering transforms and soliton interactions. Zbl 1492.35292 Zhang, Guoqiang; Yan, Zhenya 19 2020 Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. Zbl 1435.35369 Wang, Li; Yan, Zhenya; Guo, Boling 4 2020 Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours. Zbl 1472.78029 Wen, Xiao-Yong; Yan, Zhenya; Zhang, Guoqiang 3 2020 The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves. Zbl 1428.37063 Chen, Shuyan; Yan, Zhenya 25 2019 The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020 Zhang, Guoqiang; Yan, Zhenya; Wang, Li 20 2019 Stable flat-top solitons and peakons in the \(\mathcal{PT}\)-symmetric \(\delta\)-signum potentials and nonlinear media. Zbl 1428.35496 Chen, Yong; Yan, Zhenya; Mihalache, Dumitru 12 2019 The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons. Zbl 1476.81033 Chen, Shuyan; Yan, Zhenya 11 2019 Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a \(4\times 4\) Lax pair on a finite interval. Zbl 1421.37029 Yan, Zhenya 11 2019 The NLS\((n,n)\) equation: multi-hump compactons and their stability and interaction scenarios. Zbl 1448.35486 Yan, Zhenya 2 2019 Three-component nonlinear Schrödinger equations: modulational instability, \(N\)th-order vector rational and semi-rational rogue waves, and dynamics. Zbl 1470.35343 Zhang, Guoqiang; Yan, Zhenya 25 2018 Three-wave resonant interactions: multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics. Zbl 1381.35014 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 19 2018 The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375 Zhang, Guoqiang; Yan, Zhenya 18 2018 Modulational instability and dynamics of multi-rogue wave solutions for the discrete Ablowitz-Ladik equation. Zbl 1414.35212 Wen, Xiao-Yong; Yan, Zhenya 17 2018 A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. Zbl 1461.37073 Yan, Zhenya 9 2018 Effect of \(\mathcal{P} \mathcal{T}\) symmetry on nonlinear waves for three-wave interaction models in the quadratic nonlinear media. Zbl 1390.35349 Shen, Yujia; Wen, Zichao; Yan, Zhenya; Hang, Chao 5 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 4 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 2 2018 An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a \(4 \times 4\) Lax pair on the half-line. Zbl 1394.35486 Yan, Zhenya 31 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 21 2017 Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 19 2017 Solitons and their stability in the nonlocal nonlinear Schrödinger equation with \(\mathcal{P} \mathcal{T}\)-symmetric potentials. Zbl 1390.35343 Wen, Zichao; Yan, Zhenya 16 2017 Higher-order rational solitons and rogue-like wave solutions of the \((2+1)\)-dimensional nonlinear fluid mechanics equations. Zbl 1465.76022 Wen, Xiao-Yong; Yan, Zhenya 15 2017 Multi-dark-dark solitons of the integrable repulsive AB system via the determinants. Zbl 1388.37077 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 13 2017 Rogue waves. Mathematical theory and applications in physics. Zbl 1378.76002 Guo, Boling; Tian, Lixin; Yan, Zhenya; Ling, Liming; Wang, Yu-Feng 11 2017 Three-component Gross-Pitaevskii equations in the spin-1 Bose-Einstein condensate: spin-rotation symmetry, matter-wave solutions, and dynamics. Zbl 1390.35342 Wen, Zichao; Yan, Zhenya 9 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 8 2017 Stability, integrability, and nonlinear dynamics of \(\mathcal{P} T\)-symmetric optical couplers with cubic cross-interactions or cubic-quintic nonlinearities. Zbl 1403.34040 Li, Xin; Yan, Zhenya 2 2017 Higher-order vector discrete rogue-wave states in the coupled Ablowitz-Ladik equations: exact solutions and stability. Zbl 1378.35284 Wen, Xiao-Yong; Yan, Zhenya; Malomed, Boris A. 30 2016 Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions. Zbl 1351.35197 Yan, Zhenya 24 2016 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 12 2016 Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. Zbl 1322.35132 Yan, Zhenya 59 2015 Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation. Zbl 1374.37092 Wen, Xiao-Yong; Yan, Zhenya 37 2015 Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation. Zbl 1374.35392 Yang, Yunqing; Yan, Zhenya; Malomed, Boris A. 30 2015 Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials. Zbl 1364.35344 Wen, Zi-Chao; Yan, Zhenya 9 2015 Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrödinger equation with varying higher-order even and odd terms. Zbl 1347.37120 Yang, Yunqing; Wang, Xin; Yan, Zhenya 8 2015 Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrödinger equations with varying source terms. Zbl 1317.35246 Yang, Yunqing; Yan, Zhenya; Mihalache, Dumitru 7 2015 Novel wave structures in the two-dimensional cubic-quintic nonlinear Schrödinger equation with space-modulated potential and nonlinearities. Zbl 1348.35250 Yan, Zhenya 3 2015 Hopf bifurcation in a new four-dimensional hyperchaotic system. Zbl 1321.34057 Li, Xin; Yan, Zhen-Ya 2 2015 Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source. Zbl 1382.35281 Yan, Zhenya 2 2015 Localized analytical solutions and parameters analysis in the nonlinear dispersive Gross-Pitaevskii mean-field \(\mathrm{GP}(m,n)\) model with space-modulated nonlinearity and potential. Zbl 1288.35440 Yan, Zhenya 10 2014 New rogue waves and dark-bright soliton solutions for a coupled nonlinear Schrödinger equation with variable coefficients. Zbl 1334.37086 Yu, Fajun; Yan, Zhenya 9 2014 Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients. Zbl 1431.35147 Yan, Zhenya; Jiang, Dongmei 10 2012 Complex \(\mathcal{PT}\)-symmetric extensions of the nonlinear ultra-short light pulse model. Zbl 1263.81328 Yan, Zhenya 2 2012 Vector financial rogue waves. Zbl 1254.91190 Yan, Zhenya 82 2011 Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation. Zbl 1216.35147 Yan, Zhenya 9 2011 Exact solutions of nonlinear dispersive \(K(m, n)\) model with variable coefficients. Zbl 1219.35268 Yan, Zhenya 1 2011 Financial rogue waves. Zbl 1219.91143 Yan, Zhen-Ya 87 2010 Nonautonomous “rogons” in the inhomogeneous nonlinear Schrödinger equation with variable coefficients. Zbl 1235.35266 Yan, Zhenya 46 2010 Exact analytical solutions for the generalized non-integrable nonlinear Schrödinger equation with varying coefficients. Zbl 1238.35148 Yan, Zhenya 7 2010 Periodic, solitary and rational wave solutions of the 3D extended quantum Zakharov-Kuznetsov equation in dense quantum plasmas. Zbl 1231.76362 Yan, Zhenya 19 2009 Symmetry groups and exact solutions of new \((4+1)\)-dimensional Fokas equation. Zbl 1177.35210 Yang, Zheng-Zheng; Yan, Zhen-Ya 18 2009 Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations. Zbl 1198.35263 Yan, Zhenya; Chow, K. W.; Malomed, Boris A. 18 2009 New exact solution profiles of the nonlinear dispersion Drinfel’d-Sokolov \((D(m, n))\) system. Zbl 1197.35252 Xie, Fuding; Yan, Zhenya 5 2009 Envelope solution profiles of the discrete nonlinear Schrödinger equation with a saturable nonlinearity. Zbl 1170.35540 Yan, Zhenya 3 2009 The new tri-function method to multiple exact solutions of nonlinear wave equations. Zbl 1155.35427 Yan, Zhenya 16 2008 Hyperchaos synchronization and control on a new hyperchaotic attractor. Zbl 1132.93042 Yan, Zhenya; Yu, Pei 12 2008 Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations. Zbl 1155.35444 Wang, Deng-Shan; Yan, Zhenya; Li, Hongbo 8 2008 New binary travelling-wave periodic solutions for the modified KdV equation. Zbl 1217.35168 Yan, Zhenya 5 2008 Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion. Zbl 1136.35084 Xie, Fuding; Yan, Zhenya 4 2008 The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions. Zbl 1159.35403 Yan, Zhenya 4 2008 Chaos control in a new three-dimensional chaotic T system. Zbl 1392.93011 Chen, Yong; Yan, Zhen-Ya 3 2008 Exactly fractional solutions of the \((2+1)\)-dimensional modified KP equation via some fractional transformations. Zbl 1132.35468 Xie, Fuding; Yan, Zhenya 2 2008 Linear feedback control, adaptive feedback control and their combination for chaos (lag) synchronization of LC chaotic systems. Zbl 1136.93430 Yan, Zhenya; Yu, Pei 12 2007 New exact solution structures and nonlinear dispersion in the coupled nonlinear wave systems. Zbl 1170.35088 Yan, Zhenya 8 2007 Multiple solution profiles to the higher-dimensional Kadomtsev-Petviashvilli equations via Wronskian determinant. Zbl 1151.35421 Yan, Zhenya 8 2007 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,915 Authors 93 Yan, Zhenya 55 Chen, Yong 42 Tian, Shoufu 42 Zhang, Hongqing 36 Tian, Bo 27 Wen, Xiaoyong 26 Khalique, Chaudry Masood 24 He, Jingsong 21 Wang, Xiubin 19 Gao, Yitian 17 Li, Biao 17 Zayed, Elsayed M. E. 17 Zhang, Tiantian 16 Biswas, Anjan 16 Dai, Zhengde 16 Xu, Tao 16 Zhang, Guoqiang 16 Zhang, Yi 15 Geng, Xianguo 15 Inc, Mustafa 15 Mihalache, Dumitru 13 Bekir, Ahmet 13 Ma, Wen-Xiu 13 Seadawy, Aly R. 13 Shang, Yadong 13 Tian, Lixin 13 Yu, Fajun 12 Dai, Chaoqing 12 Hu, Beibei 12 Wazwaz, Abdul-Majid Abdul-Rahman 12 Yang, Jinjie 12 Zhang, Sheng 12 Zhou, Zijian 11 Fan, Engui 11 Meng, Xianghua 11 Song, Lina 11 Wang, Lei 11 Wang, Xingyuan 10 An, Hongli 10 Gepreel, Khaled A. 10 Ling, Liming 10 Peng, Weiqi 10 Rao, Jiguang 10 Wang, Qi 10 Weng, Weifang 10 Yu, Xin 10 Zhang, Ling 9 Belić, Milivoj R. 9 Dong, Huanhe 9 Ekici, Mehmet 9 Han, Bo 9 Liu, Nan 9 Ouannas, Adel 9 Wang, Dengshan 9 Wang, Li 9 Wang, Xin 9 Xu, Wei 9 Yang, Yunqing 9 Zhang, Xiaoen 8 Baskonus, Haci Mehmet 8 Cheng, Yi 8 Guo, Boling 8 Li, Zhiqiang 8 Liu, Wenjun J. 8 Xue, Bo 8 Yang, Bo 8 Ye, Rusuo 8 Zhang, Yufeng 7 Ali Akbar, M. 7 Chen, Junchao 7 Feng, Baofeng 7 Li, Yin 7 Li, Zhibin 7 Lü, Xing 7 Sun, Zhiyuan 7 Tang, Shengqiang 7 Tang, Yaning 6 Adeyemo, Oke Davies 6 Bulut, Hasan 6 Fan, Xinghua 6 Gao, Liang 6 Jiang, Yan 6 Li, Bangqing 6 Li, Jibin 6 Li, Ruomeng 6 Lou, Senyue 6 Lou, Yu 6 Ma, Yulan 6 Malomed, Boris A. 6 Salas, Alvaro H. 6 Vitanov, Nikolay K. 6 Wang, Mingjun 6 Wang, Yueyue 6 Wei, Long 6 Wu, Xiangjun 6 Xia, Tie-Cheng 6 Xie, Xi-Yang 6 Xu, Bo 6 Yong, Xuelin 6 Zhang, Jiefang ...and 1,815 more Authors all top 5 Cited in 201 Serials 171 Applied Mathematics and Computation 103 Chaos, Solitons and Fractals 98 Nonlinear Dynamics 93 Communications in Nonlinear Science and Numerical Simulation 60 Applied Mathematics Letters 59 Physica D 51 Physics Letters. 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