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Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download:18/0  |  Submit date:2021/10/26
Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download:71/0  |  Submit date:2021/01/14
Defocusing nonlinear Schrodinger equation  Modulational instability  PT-symmetric potential  Rogue waves  W-shaped solitons  
Dark Solitons for the Defocusing Cubic Nonlinear Schrodinger Equation with the Spatially Periodic Potential and Non linearity 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 卷号: 64, 期号: 3, 页码: 309-319
Authors:  Yan Zhen-Ya;  Yan Fang-Chi
Favorite  |  View/Download:16/0  |  Submit date:2018/07/30
defocusing cubic NLS equation  the theory of upper and lower solutions  periodic solutions  dark solitons  
Energy-Critical NLS with Quadratic Potentials 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 卷号: 34, 期号: 12, 页码: 1531-1565
Authors:  Killip, Rowan;  Visan, Monica;  Zhang, Xiaoyi
Favorite  |  View/Download:16/0  |  Submit date:2018/07/30
Energy critical  Nonlinear Schrodinger equation  
Minimal-mass blowup solutions of the mass-critical NLS 期刊论文
FORUM MATHEMATICUM, 2008, 卷号: 20, 期号: 5, 页码: 881-919
Authors:  Tao, Terence;  Visan, Monica;  Zhang, Xiaoyi
Favorite  |  View/Download:19/0  |  Submit date:2018/07/30
The nonlinear Schrodinger equation with combined power-type nonlinearities 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 卷号: 32, 期号: 7-9, 页码: 1281-1343
Authors:  Tao, Terence;  Visan, Monica;  Zhang, Xiaoyi
Favorite  |  View/Download:13/0  |  Submit date:2018/07/30
energy-critical  mass-critical  nonlinear Schrodinger equation  well-posedness