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Data-driven peakon and periodic peakon solutions and parameter discovery of some nonlinear dispersive equations via deep learning 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 428, 页码: 15
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download:38/0  |  Submit date:2022/04/02
Nonlinear dispersive equation  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven peakon and periodic peakon  solutions Data-driven parameter discovery  
Variational discretizations for the generalized Rosenau-type equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 271, 页码: 860-873
Authors:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
Favorite  |  View/Download:54/0  |  Submit date:2018/07/30
Lagrangian density  Variational integrator  Multisymplectic formulation  Solitons collision  Local conservation law  
Controlling temporal solitary waves in the generalized inhomogeneous coupled nonlinear Schrodinger equations with varying source terms 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2015, 卷号: 56, 期号: 5, 页码: 19
Authors:  Yang, Yunqing;  Yan, Zhenya;  Mihalache, Dumitru
Favorite  |  View/Download:35/0  |  Submit date:2018/07/30
Parameters controlling matter waves in the one-dimensional generalized Gross-Pitaevskii equation with the varying potential and source 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 卷号: 423, 期号: 2, 页码: 1370-1399
Authors:  Yan, Zhenya
Favorite  |  View/Download:41/0  |  Submit date:2018/07/30
The generalized Gross-Pitaevskii equation  Bose-Einstein condensates  Varying source  Non-trivial phase solutions  Solitary wave solutions  Periodic wave solutions  
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 2, 页码: 385-434
Authors:  Li Dong;  Zhang XiaoYi
Favorite  |  View/Download:27/0  |  Submit date:2021/01/14
NONLINEAR SCHRODINGER-EQUATION  DISPERSIVE EVOLUTION-EQUATIONS  BLOW-UP SOLUTIONS  CRITICAL POWER  CAUCHY-PROBLEM  GROUND-STATES  SINGULARITIES  UNIQUENESS  STABILITY  Schrodinger equation  mass critical  rigidity  
Nonautonomous matter waves in a waveguide 期刊论文
PHYSICAL REVIEW A, 2011, 卷号: 84, 期号: 2, 页码: 9
Authors:  Yan, Zhenya;  Zhang, Xiao-Fei;  Liu, W. M.
Favorite  |  View/Download:43/0  |  Submit date:2018/07/30
Schrodinger soliton from Lorentzian manifolds 期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 卷号: 27, 期号: 8, 页码: 1455-1476
Authors:  Song, Chong;  Wang, You De
Favorite  |  View/Download:47/0  |  Submit date:2018/07/30
Schrodinger soliton  Schrodinger flow  wave map  Killing potential  
schrodingersolitonfromlorentzianmanifolds 期刊论文
actamathematicasinicaenglishseries, 2011, 卷号: 27, 期号: 8, 页码: 1455
Authors:  Chong SONG;  You De WANG
Favorite  |  View/Download:40/0  |  Submit date:2020/01/10
On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data 期刊论文
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 卷号: 7, 期号: 4, 页码: 345-373
Authors:  Li, Dong;  Zhang, Xiaoyi
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Focusing mass critical NLS  Sobolev regularity  scattering conjecture  
REGULARITY OF ALMOST PERIODIC MODULO SCALING SOLUTIONS FOR MASS-CRITICAL NLS AND APPLICATIONS 期刊论文
ANALYSIS & PDE, 2010, 卷号: 3, 期号: 2, 页码: 175-195
Authors:  Li, Dong;  Zhang, Xiaoyi
Favorite  |  View/Download:46/0  |  Submit date:2018/07/30
Schrodinger equation  mass-critical