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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:123/0  |  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  
Envelope solution profiles of the discrete nonlinear Schrodinger equation with a saturable nonlinearity 期刊论文
APPLIED MATHEMATICS LETTERS, 2009, 卷号: 22, 期号: 4, 页码: 448-452
作者:  Yan, Zhenya
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
Discrete nonlinear Schrodinger equation with a saturable nonlinearity  Jacobi elliptic function  Envelope solution  Dark soliton solution  
Numerical solutions of a class of nonlinear evolution equations with nonlinear term of any order 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 卷号: 49, 期号: 3, 页码: 579-584
作者:  Hong-Li, A. N.;  Yong, Cheng
收藏  |  浏览/下载:69/0  |  提交时间:2018/07/30
Adomian decomposition method  nonlinear evolution equations  Jacobi elliptic function  numerical solution  
Double elliptic equation expansion approach and novel solutions of (2+1)-dimensional break soliton equation 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2008, 卷号: 49, 期号: 2, 页码: 281-286
作者:  Sun Wei-Kun;  Cao Nan-Bin;  Shen Ya-Liang
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
break soliton equation  symbolic computation  double elliptic equations  double soliton-like solution  nonlinear wave solution  
The extension of the Jacobi elliptic function rational expansion method 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 卷号: 12, 期号: 5, 页码: 702-713
作者:  Yu, Yaxuan;  Wang, Qi;  Zhang, Hongqing
收藏  |  浏览/下载:86/0  |  提交时间:2018/07/30
Jacobi elliptic functions  Nonlinear evolution equations  Travelling wave solution  Jacobi elliptic function rational expansion method  
An application of the modified Adomian decomposition method for (N+1)-dimensional sine-Gordon field 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 181, 期号: 1, 页码: 147-152
作者:  Wang, Qi
收藏  |  浏览/下载:74/0  |  提交时间:2018/07/30
(N+1)-dimensional sine-Gordon field  modified Adomian decomposition method  Jacobi elliptic function solution  error analysis  
Generalized algebraic method and new exact traveling wave solutions for (2+1)-dimensional dispersive long wave equation 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2006, 卷号: 181, 期号: 1, 页码: 247-255
作者:  Wang, Qi;  Chen, Yong;  Zhang, Hongqing
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
symbolic computation  (2+1)-dimensional dispersive long wave equation  Weierstrass and Jacobi elliptic functions  soliton solution  periodic solution  
The (2+1)-dimensional integrable coupling of KdV equation: Auto-Backlund transformation and new non-traveling wave profiles 期刊论文
PHYSICS LETTERS A, 2005, 卷号: 345, 期号: 4-6, 页码: 362-377
作者:  Yan, ZY
收藏  |  浏览/下载:88/0  |  提交时间:2018/07/30
integrable coupling  Backlund transformatiom  Painleve analysis  non-traveling wave solution  symbolic computation  
Approximate Jacobi elliptic function solutions of the modified KdV equation via the decomposition method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 166, 期号: 3, 页码: 571-583
作者:  Yan, ZY
收藏  |  浏览/下载:73/0  |  提交时间:2018/07/30
mKdV equation  the decomposition method  Jacobi elliptic function solution  error analysis  
New Weierstrass semi-rational expansion method to doubly periodic solutions of soliton equations 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2005, 卷号: 43, 期号: 3, 页码: 391-396
作者:  Yan, ZY
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
soliton equations  Weierstrass elliptic function  doubly periodic solution  symbolic computation