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STABLE STANDING WAVES OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
作者:  Li, Zaizheng;  Zhang, Qidi;  Zhang, Zhitao
收藏  |  浏览/下载：91/0  |  提交时间：2023/02/07
Fractional Schrodinger equations  standing wave  orbital stability  least action solution  
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  
Exact Splitting Methods for Kinetic and Schrodinger Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 86, 期号: 1, 页码: 35
作者:  Bernier, Joackim;  Crouseilles, Nicolas;  Li, Yingzhe
收藏  |  浏览/下载：151/0  |  提交时间：2021/04/26
Exact splitting  Transport equations  Kinetic equations  Schrodinger equations  
CLASSIFICATION OF NONNEGATIVE SOLUTIONS TO STATIC SCHRODINGER-HARTREE-MAXWELL TYPE EQUATIONS 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 2, 页码: 1379-1410
作者:  Dai, Wei;  Liu, Zhao;  Qin, Guolin
收藏  |  浏览/下载：157/0  |  提交时间：2021/10/26
higher-order fractional Laplacians  Schrodinger-Hartree-Maxwell equations  classification of nonnegative solutions  super poly-harmonic properties  nonlocal nonlinearities  the method of moving spheres  
Direct Methods for Pseudo-relativistic Schrodinger Operators 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 页码: 64
作者:  Dai, Wei;  Qin, Guolin;  Wu, Dan
收藏  |  浏览/下载：178/0  |  提交时间：2020/09/23
Pseudo-relativistic Schrodinger operators  Epigraph  3D boson star equations  Direct methods of moving planes  Direct sliding methods  
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：201/0  |  提交时间：2020/01/10
Nonlinear Schrodinger equations  Bound state solution  Perturbation method  Pohozaev-Nehari identity  
VORTEX STRUCTURES FOR SOME GEOMETRIC FLOWS FROM PSEUDO-EUCLIDEAN SPACES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 卷号: 39, 期号: 4, 页码: 1745-1777
作者:  Jiang, Ruiqi;  Wang, Youde;  Yang, Jun
收藏  |  浏览/下载：201/0  |  提交时间：2019/03/05
Wave map equations  Schrodinger flows  Landau-Lifshitz equations  Vortices  
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：213/0  |  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