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Data-driven rogue waves and parameters discovery in nearly integrable PT-symmetric Gross-Pitaevskii equations via PINNs deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 439, 页码: 12
作者:  Zhong, Ming;  Gong, Shibo;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载:67/0  |  提交时间:2023/02/07
GeneralizedGrossPitaevskiiequation  ComplexPT-symmetricpotentials  Physics-informeddeepneuralnetworks  Data-driven rogue waves and parameters discovery discovery  
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
作者:  Weng, Weifang;  Zhang, Guoqiang;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载:113/0  |  提交时间:2022/04/02
Five-component Manakov system  Non-zero/zero background  Semi-rational solutions  Rogue waves/rogons  Solitons  
Strong and weak interactions of rational vector rogue waves and solitons to any n-component nonlinear Schrodinger system with higher-order effects 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 478, 期号: 2257, 页码: 23
作者:  Weng, Weifang;  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:106/0  |  提交时间:2022/04/02
rational vector rogue waves  rational vector solitons  weak and strong interactions  n-component nonlinear wave system with higher-order effects  modified Darboux transform  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载:124/0  |  提交时间:2021/10/26
Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载:161/0  |  提交时间:2021/01/14
Defocusing nonlinear Schrodinger equation  Modulational instability  PT-symmetric potential  Rogue waves  W-shaped solitons  
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves 期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 95, 页码: 65-71
作者:  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载:161/0  |  提交时间:2020/01/10
Hirota equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers  Rogue waves  
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 卷号: 475, 期号: 2222, 页码: 20
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wang, Li
收藏  |  浏览/下载:159/0  |  提交时间:2020/01/10
general coupled Hirota equations  modulational instability  high-order vector rational or semirational rogue waves  multi-dark-dark solitons  dynamics  
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载:161/0  |  提交时间:2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2018, 卷号: 366, 页码: 27-42
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载:147/0  |  提交时间:2018/07/30
Three-wave resonant interactions  Darboux transformation  Multi-dark-dark-dark soliton  Breathers  Rogue waves  Stability  
Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 43, 页码: 311-329
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
(2+1)-Dimensional KP equation  Generalized perturbation Darboux transformation  Rational solitons  Rogue waves