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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：72/0  |  提交时间：2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:  Hou, Baohui;  Liang, Dong
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Duality of positive and negative integrable hierarchies via relativistically invariant fields 期刊论文
JOURNAL OF HIGH ENERGY PHYSICS, 2021, 期号: 7, 页码: 22
作者:  Lou, S. Y.;  Hu, X. B.;  Liu, Q. P.
收藏  |  浏览/下载：124/0  |  提交时间：2021/10/26
Integrable Hierarchies  Integrable Field Theories  Space-Time Symmetries  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2020, 卷号: 53, 期号: 39, 页码: 23
作者:  Hu, Xingbiao;  Pan, Yan;  Sun, Jianqing;  Wang, Hui;  Zhang, Yingnan
收藏  |  浏览/下载：133/0  |  提交时间：2021/01/14
mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV–sine-Gordon equation 期刊论文
Journal of Physics A: Mathematical and Theoretical, 2020, 卷号: 53, 期号: 39
作者:  Hu,Xingbiao;  Pan,Yan;  Sun,Jianqing;  Wang,Hui;  Zhang,Yingnan
收藏  |  浏览/下载：112/0  |  提交时间：2021/01/14
mKdV–sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
Some special types of solutions of a class of the (N+1)-dimensional nonlinear wave equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 卷号: 56, 期号: 6, 页码: 1569-1579
作者:  Wang, Deng-Shan;  Yan, Zhenya;  Li, Hongbo
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
sine-cosine-Gordon equation  double sinh-Gordon equation  separation transformation  Soliton solution  separation transformation approach  
Some remarks on the critical point theory 期刊论文
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2007, 卷号: 30, 期号: 2, 页码: 223-234
作者:  Li, Chong
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
mountain pass theorem  order intervals  Morse theory  minimax method  
Some solutions of discrete sine-Gordon equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2007, 卷号: 33, 期号: 5, 页码: 1791-1795
作者:  Xie, Fuding;  Ji, Min;  Zhao, Hong
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Discrete exact solutions of modified Volterra and Volterra lattice equations via the new discrete sine-Gordon expansion algorithm 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 卷号: 64, 期号: 8, 页码: 1798-1811
作者:  Yan, ZY
收藏  |  浏览/下载：75/0  |  提交时间：2018/07/30
discrete soliton equations  discrete sine-Gordon expansion method  solitary wave solution  symbolic computation  
New exact solutions of (2+1)-dimensional Gardner equation via the new sine-Gordon equation expansion method 期刊论文
CHAOS SOLITONS & FRACTALS, 2005, 卷号: 26, 期号: 2, 页码: 399-406
作者:  Chen, Y;  Yan, ZY
收藏  |  浏览/下载：74/0  |  提交时间：2018/07/30