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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:45/0  |  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  
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 10, 页码: 4746-4775
Authors:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
Favorite  |  View/Download:80/0  |  Submit date:2018/10/07
Degasperis-Procesi equation  multipeakons  Toda lattice of CKP type  
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type 期刊论文
NONLINEARITY, 2018, 卷号: 31, 期号: 10, 页码: 4746-4775
Authors:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Li, Shi-Hao
Favorite  |  View/Download:67/0  |  Submit date:2018/10/07
Degasperis-Procesi equation  multipeakons  Toda lattice of CKP type  
Geometric Numerical Integration for Peakon b-Family Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 1, 页码: 24-52
Authors:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
Favorite  |  View/Download:53/0  |  Submit date:2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
Global well-posedness for the Cauchy problem of the viscous Degasperis-Procesi equation 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 卷号: 361, 期号: 2, 页码: 457-465
Authors:  Ai, Xiaolian;  Gui, Guilong
Favorite  |  View/Download:52/0  |  Submit date:2018/07/30
Global well-posedness  Viscous Degasperis-Procesi equation  Picard contraction principle  Bilinear estimate