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Data-driven discoveries of B?cklund transformations and soliton evolution equations via deep neural network learning schemes 期刊论文
PHYSICS LETTERS A, 2022, 卷号: 450, 页码: 15
作者:  Zhou, Zijian;  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-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：147/0  |  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  
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：180/0  |  提交时间：2020/01/10
Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
Soliton solutions to the Jimbo-Miwa equations and the Fordy-Gibbons-Jimbo-Miwa equation 期刊论文
PHYSICS LETTERS A, 1999, 卷号: 262, 期号: 4-5, 页码: 310-320
作者:  Hu, XB;  Wang, DL;  Tam, HW;  Xue, WM
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
solitons  integrable systems  Hirota's method  
Application of the Hirota bilinear formalism to a new integrable differential-difference equation 期刊论文
PHYSICS LETTERS A, 1998, 卷号: 246, 期号: 6, 页码: 523-529
作者:  Hu, XB;  Wu, YT
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
solitons  integrable differential-difference equation  Hirota's method  Backlund transformation