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Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
作者:  Weng, Weifang;  Zhang, Guoqiang;  Zhang, Minghe;  Zhou, Zijian;  Yan, Zhenya
收藏  |  浏览/下载：127/0  |  提交时间：2022/04/29
N-component NLS equation  Mixed non-zero and zero backgrounds  Semi-rational rogon-soliton solutions  Soliton-like solutions  Asymptotic analysis  
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
作者:  Wang, Li;  Yan, Zhenya
收藏  |  浏览/下载：116/0  |  提交时间：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  
Multi-component Nonlinear Schrodinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2021, 卷号: 31, 期号: 5, 页码: 52
作者:  Zhang, Guoqiang;  Ling, Liming;  Yan, Zhenya
收藏  |  浏览/下载：157/0  |  提交时间：2021/10/26
Multi-component NLS equations  Nonzero boundary conditions  Lax pair  Loop group method  Darboux transform  Higher-order vector Peregrine solitons  Parity-time-reversal symmetry  Governing polynomial  Asymptotic estimates  
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
作者:  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：131/0  |  提交时间：2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
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  
Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrodinger equation 期刊论文
CHAOS, 2021, 卷号: 31, 期号: 6, 页码: 9
作者:  Zhang, Guoqiang;  Ling, Liming;  Yan, Zhenya;  Konotop, Vladimir V.
收藏  |  浏览/下载：91/0  |  提交时间：2022/04/02
An initial-boundary value problem for the general three-component nonlinear Schrodinger equations on a finite interval 期刊论文
IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 卷号: 86, 期号: 3, 页码: 427-489
作者:  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2021/10/26
general three-component nonlinear Schrodinger equations  initial-boundary value problem  inverse scattering  Riemann-Hilbert problem  global relation  Dirichlet and Neumann problems  Gel'fand-Levitan-Marchenko representation