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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:74/0  |  提交时间:2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
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:136/0  |  提交时间:2021/01/14
mKdV-sine-Gordon equation  3-periodic wave solution  integrable discre-tization  
integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation 期刊论文
sciencechinamathematics, 2015, 卷号: 58, 期号: 2, 页码: 279
作者:  Zhang Yingnan;  Chang Xiangke;  Hu Juan;  Hu Xingbiao;  Tam Hon Wah
收藏  |  浏览/下载:115/0  |  提交时间:2020/01/10
Commutativity of Pfaffianization and Backlund Transformations: Two Differential-Difference Systems 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2009, 卷号: 78, 期号: 6, 页码: 6
作者:  Zhao, Jun-Xiao;  Gegenhasi;  Hu, Xing-Biao
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Backlund transformation  commutativity  pfaffian  Wronskian  Grammian and soliton  
COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE 期刊论文
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, 卷号: 16, 期号: 2, 页码: 169-178
作者:  Li, Chun-Xia;  Zhao, Jun-Xiao;  Hu, Xing-Biao
收藏  |  浏览/下载:104/0  |  提交时间:2018/07/30
The coupled Leznov lattice  Pfaffianization  Backlund transformation  Wronskian  pfaffian  
Nonlocal Symmetries for Bilinear Equations and Their Applications 期刊论文
STUDIES IN APPLIED MATHEMATICS, 2009, 卷号: 122, 期号: 3, 页码: 305-324
作者:  Hu, Xing-Biao;  Lou, Sen-Yue;  Qian, Xian-Min
收藏  |  浏览/下载:79/0  |  提交时间:2018/07/30
Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice 期刊论文
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 卷号: 15, 期号: 3, 页码: 233-252
作者:  Hu, Xing-Biao;  Yu, Guo-Fu
收藏  |  浏览/下载:147/0  |  提交时间:2018/07/30
integrable system  integrable discretization  Backlund transformation  Lax pair  
Integrable discretizations of the (2+1)-dimensional sinh-Gordon equation 期刊论文
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 卷号: 40, 期号: 42, 页码: 12645-12659
作者:  Hu, Xing-Biao;  Yu, Guo-Fu
收藏  |  浏览/下载:91/0  |  提交时间:2018/07/30
New type of Kadomtsev-Petviashvili equation with self-consistent sources and its bilinear Backlund transformation 期刊论文
INVERSE PROBLEMS, 2007, 卷号: 23, 期号: 4, 页码: 1433-1444
作者:  Hu, Xing-Biao;  Wang, Hong-Yan
收藏  |  浏览/下载:70/0  |  提交时间:2018/07/30
Commutativity of Pfaffianization and Backlund transformations: the KP equation 期刊论文
INVERSE PROBLEMS, 2005, 卷号: 21, 期号: 4, 页码: 1461-1472
作者:  Hu, XB;  Zhao, JX
收藏  |  浏览/下载:75/0  |  提交时间:2018/07/30