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Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials 期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Focusing and defocusing nonlinear Schrodinger equations  Generalized PT-Scarf-II potential  Physics-informed deep neural networks  Data-driven solitons and parameters discovery  
Formation, stability, and adiabatic excitation of peakons and double-hump solitons in parity-time-symmetric Dirac-delta(x)-Scarf-II optical potentials 期刊论文
PHYSICAL REVIEW E, 2022, 卷号: 105, 期号: 1, 页码: 16
作者:  Zhong, Ming;  Chen, Yong;  Yan, Zhenya;  Tian, Shou-Fu
收藏  |  浏览/下载：119/0  |  提交时间：2022/04/02
The multi-triple-pole solitons for the focusing mKdV hierarchy with nonzero boundary conditions 期刊论文
MODERN PHYSICS LETTERS B, 2021, 卷号: 35, 期号: 32, 页码: 24
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：105/0  |  提交时间：2022/04/02
Modified KdV hierarchy  nonzero boundary conditions  Riemann-Hilbert problem  multi-triple-pole solitons and breathers  
Solving forward and inverse problems of the logarithmic nonlinear Schrodinger equation with PT-symmetric harmonic potential via deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 387, 页码: 12
作者:  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
Logarithmic nonlinear Schrodinger equation  PT-symmetric potentials  Physics-informed neural networks  Deep learning  Data-driven discovery of LNLS equation  Data-driven solitons  
Soliton formation and stability under the interplay between parity-time-symmetric generalized Scarf-II potentials and Kerr nonlinearity 期刊论文
PHYSICAL REVIEW E, 2020, 卷号: 102, 期号: 1, 页码: 11
作者:  Chen, Yong;  Yan, Zhenya;  Mihalache, Dumitru
收藏  |  浏览/下载：169/0  |  提交时间：2020/09/23
The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：159/0  |  提交时间：2020/09/23
Derivative nonlinear Schrodinger equation  Modified Zakharov-Shabat eigenvalue problem  Inverse scattering  Riemann-Hilbert problem  Zero  nonzero boundary conditions  Double-pole solitons and breathers  
Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
作者:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：182/0  |  提交时间：2020/01/10
Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
作者:  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：178/0  |  提交时间：2020/01/10
Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios 期刊论文
CHAOS SOLITONS & FRACTALS, 2019, 卷号: 122, 页码: 25-31
作者:  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2020/01/10
Nonlinear dispersion  NLS(n, n) equation  Multi-hump compactons  Soliton-like solutions  Stability  Interactions  
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