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Dynamics of fractional N-soliton solutions with anomalous dispersions of integrable fractional higher-order nonlinear Schrodinger equations 期刊论文
CHAOS, 2022, 卷号: 32, 期号: 12, 页码: 12
Authors:  Weng, Weifang;  Zhang, Minghe;  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download：19/0  |  Submit date：2023/02/07
New integrable multi-Levy-index and mixed fractional nonlinear soliton hierarchies 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 164, 页码: 6
Authors:  Zhenya Yan
Favorite  |  View/Download：19/0  |  Submit date：2023/02/07
Multi-Levy-index and mix-index fractional soliton hierarchy  Integrable fractional system  Anomalous dispersion relation  Inverse scattering  Riemann-Hilbert problem  Solitons  
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
Authors:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
Favorite  |  View/Download：25/0  |  Submit date：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  
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
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Yan, Zhenya
Favorite  |  View/Download：72/0  |  Submit date：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  
Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrodinger equations 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 8, 页码: 2871-2898
Authors:  Luo, Haijun;  Zhang, Zhitao
Favorite  |  View/Download：37/0  |  Submit date：2023/02/07
biharmonic nonlinear Schrodinger equations  normalized solution  orbital stability  general nonlinearity  
Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download：73/0  |  Submit date：2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
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
Authors:  Zhou, Zijian;  Yan, Zhenya
Favorite  |  View/Download：102/0  |  Submit date：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  
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
Authors:  Yan, Zhenya
Favorite  |  View/Download：102/0  |  Submit date：2020/01/10
Nonlinear dispersion  NLS(n, n) equation  Multi-hump compactons  Soliton-like solutions  Stability  Interactions  
Response to "Comment on 'Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma'" [Phys. Plasmas 24, 094701 (2017)] 期刊论文
PHYSICS OF PLASMAS, 2018, 卷号: 25, 期号: 2, 页码: 4
Authors:  Zhen, Hui-Ling;  Tian, Bo;  Xie, Xi-Yang;  Wu, Xiao-Yu;  Wen, Xiao-Yong
Favorite  |  View/Download：134/0  |  Submit date：2018/07/30
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
Authors:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
Favorite  |  View/Download：80/0  |  Submit date：2018/07/30
Nonlinear Schrodinger equation  White noise dispersion  Stochastic symplectic and multi-symplectic structures  Stochastic symplectic and multi-symplectic schemes