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Data-Driven Deep Learning for The Multi-Hump Solitons and Parameters Discovery in NLS Equations with Generalized PT-Scarf-II Potentials 期刊论文
NEURAL PROCESSING LETTERS, 2022, 页码: 19
作者:  Zhong, Ming;  Zhang, Jian-Guo;  Zhou, Zijian;  Tian, Shou-Fu;  Yan, Zhenya
收藏  |  浏览/下载：92/0  |  提交时间：2023/02/07
Focusing and defocusing nonlinear Schrodinger equations  Generalized PT-Scarf-II potential  Physics-informed deep neural networks  Data-driven solitons and parameters discovery  
Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrodinger equations 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 8, 页码: 2871-2898
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：129/0  |  提交时间：2023/02/07
biharmonic nonlinear Schrodinger equations  normalized solution  orbital stability  general nonlinearity  
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：168/0  |  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  
Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 卷号: 475, 期号: 1, 页码: 350-363
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：200/0  |  提交时间：2020/01/10
Nonlinear Schrodinger equations  Bound state solution  Perturbation method  Pohozaev-Nehari identity  
The n-component nonlinear Schrodinger equations: dark-bright mixed N- and high-order solitons and breathers, and dynamics 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2018, 卷号: 474, 期号: 2215, 页码: 20
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：212/0  |  提交时间：2018/09/08
n-component nonlinear Schrodinger equations  Darboux transformation dark-bright mixed solitons  dark-bright mixed high-order solitons  wing-shaped structure of the breathers  dynamics  
Stable solitons in the 1D and 2D generalized nonlinear Schrodinger equations with the periodic effective mass and PT-symmetric potentials 期刊论文
ANNALS OF PHYSICS, 2017, 卷号: 386, 页码: 44-57
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：113/0  |  提交时间：2018/07/30
The generalized linear and nonlinear Schrodinger equations  PT-symmetric periodic potentials  Effective-mass modulation  Optical solitons  Stability  
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrodinger equations 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 卷号: 473, 期号: 2203, 页码: 19
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
coupled nonlinear Schrodinger equations with four-wave mixing  modulational instability  Darboux transformation  beak-shaped rogue wave  multi-dark-dark solitons  dynamics  
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai;  Kong, Linghua
收藏  |  浏览/下载：186/0  |  提交时间：2018/07/30
Coupled stochastic nonlinear Schrodinger equations  compact scheme  stochastic multi-symplectic conservation law  energy evolution law  charge conservation law  soliton evolution  soliton interaction  
Integrable PT-symmetric local and nonlocal vector nonlinear Schrodinger equations: A unified two-parameter model 期刊论文
APPLIED MATHEMATICS LETTERS, 2015, 卷号: 47, 页码: 61-68
作者:  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2018/07/30
Two-parameter family of nonlocal vector nonlinear Schrodinger equations  Lax pair  Conservation laws  PT symmetry  Solitons  
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
作者:  Li Dong;  Zhang XiaoYi
收藏  |  浏览/下载：108/0  |  提交时间：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