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Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
Stochastic symplectic and multi-symplectic methods for nonlinear Schrodinger equation with white noise dispersion 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 342, 页码: 267-285
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  White noise dispersion  Stochastic symplectic and multi-symplectic structures  Stochastic symplectic and multi-symplectic schemes  
Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrodinger equation via the determinants 期刊论文
APPLIED MATHEMATICS LETTERS, 2017, 卷号: 69, 页码: 113-120
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
Integrable nonlocal nonlinear schrodinger equation  Lax pair  Loop group method  Generalized darboux transformation  Higher-order rational solitons  
The nonlinear Schrodinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations 期刊论文
CHAOS, 2017, 卷号: 27, 期号: 7, 页码: 14
作者:  Yan, Zhenya;  Chen, Yong
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Solitons and their stability in the nonlocal nonlinear Schrodinger equation with PT-symmetric potentials 期刊论文
CHAOS, 2017, 卷号: 27, 期号: 5, 页码: 7
作者:  Wen, Zichao;  Yan, Zhenya
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Structure of positive solutions to a Schrodinger system 期刊论文
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 卷号: 19, 期号: 1, 页码: 877-887
作者:  Zhang, Zhitao;  Wang, Wei
收藏  |  浏览/下载：87/0  |  提交时间：2018/07/30
Coupled nonlinear Schrodinger equation  existence and uniqueness of positive solution  synchronized solution  
One-and two-dimensional gap solitons and dynamics in the PT - symmetric lattice potential and spatially-periodic momentum modulation 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 55, 页码: 287-297
作者:  Chen, Yong;  Yan, Zhenya;  Li, Xin
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
Generalized nonlinear Schrodinger equation  PT-symmetric lattice potential  Spatially-periodic momentum modulation  Gap solitons  Stability  
Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation 期刊论文
PHYSICAL REVIEW E, 2017, 卷号: 95, 期号: 1, 页码: 11
作者:  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
NUMERICAL ANALYSIS ON ERGODIC LIMIT OF APPROXIMATIONS FOR STOCHASTIC NLS EQUATION VIA MULTI-SYMPLECTIC SCHEME 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 1, 页码: 305-327
作者:  Hong, Jialin;  Wang, Xu;  Zhang, Liying
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
stochastic Schriidinger equation  multiplicative noise  unique ergodicity  multisymplectic scheme  weak error