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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
Authors:  Zhou, Zijian;  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download:25/0  |  Submit date:2023/02/07
Deep neural networks  B?cklund transform  Miura transform  Soliton equations  Breathers  Solitons  
Geometric Schrodinger-Airy flows on Kahler manifolds 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 209-240
Authors:  Sun Xiao Wei;  Wang You De
Favorite  |  View/Download:71/0  |  Submit date:2021/01/14
GLOBAL WELL-POSEDNESS  VORTEX FILAMENT  SYMMETRIC-SPACES  MKDV EQUATIONS  AXIAL-FLOW  MAPS  SOLITON  KDV  Schrodinger-Airy flow  complex-valued mKdV equation  KdV flow  generalized Hasimoto transformation  geometric energy method  conversation laws  
KdV GEOMETRIC FLOWS ON KAHLER MANIFOLDS 期刊论文
INTERNATIONAL JOURNAL OF MATHEMATICS, 2011, 卷号: 22, 期号: 10, 页码: 1439-1500
Authors:  Sun, Xiaowei;  Wang, Youde
Favorite  |  View/Download:89/0  |  Submit date:2018/07/30
KdV geometric flow  conversation law  semi-conversation law  Hasimoto transformation  geometric energy method  
Numerical complexiton solutions for the complex KdV equation by the homotopy perturbation method 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2008, 卷号: 203, 期号: 1, 页码: 125-133
Authors:  An, Hong-Li;  Chen, Yong
Favorite  |  View/Download:81/0  |  Submit date:2018/07/30
homotopy perturbation method  complex KdV equation  numerical solution  numerical complexiton solutions