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Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized PT-symmetric NLS equations 期刊论文
WAVE MOTION, 2022, 卷号: 115, 页码: 15
作者:  Song, Jin;  Zhou, Zijian;  Dong, Huanhe;  Yan, Zhenya
收藏  |  浏览/下载:78/0  |  提交时间:2023/02/07
Generalized nonlinear Schr?dinger equation  PT-symmetric potentials  Stable solitons and peakons  Quantum information entropy  Soliton interactions and adiabatic  excitations  
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
作者:  Song, Jin;  Zhou, Zijian;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载:64/0  |  提交时间:2023/02/07
Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
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
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载:125/0  |  提交时间: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
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载:163/0  |  提交时间: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
作者:  Yan Zhen-Ya;  Yan Fang-Chi
收藏  |  浏览/下载:101/0  |  提交时间: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
作者:  Killip, Rowan;  Visan, Monica;  Zhang, Xiaoyi
收藏  |  浏览/下载:89/0  |  提交时间: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
作者:  Tao, Terence;  Visan, Monica;  Zhang, Xiaoyi
收藏  |  浏览/下载:93/0  |  提交时间: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
作者:  Tao, Terence;  Visan, Monica;  Zhang, Xiaoyi
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
energy-critical  mass-critical  nonlinear Schrodinger equation  well-posedness