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Layer-Splitting Methods for Time-Dependent Schrodinger Equations of Incommensurate Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 5, 页码: 1474-1498
作者:  Wang, Ting;  Chen, Huajie;  Zhou, Aihui;  Zhou, Yuzhi
收藏  |  浏览/下载：113/0  |  提交时间：2022/04/02
Incommensurate system  time-dependent Schrodinger equation  time stepping scheme  
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：131/0  |  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  
Measurement-induced Boolean dynamics and controllability for closed quantum networks 期刊论文
AUTOMATICA, 2020, 卷号: 114, 页码: 11
作者:  Qi, Hongsheng;  Mu, Biqiang;  Petersen, Ian R.;  Shi, Guodong
收藏  |  浏览/下载：134/0  |  提交时间：2020/05/24
Quantum networks  Quantum measurements  Bilinear systems  Boolean networks  
Limit Configurations of Schrodinger Systems Versus Optimal Partition for the Principal Eigenvalue of Elliptic Systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2019, 卷号: 19, 期号: 4, 页码: 693-715
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：155/0  |  提交时间：2020/05/24
Schrodinger System  Almgren's Monotonicity Formula  Optimal Partition  Free Boundary Problem  
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：160/0  |  提交时间：2020/01/10
Nonlinear Schrodinger equations  Bound state solution  Perturbation method  Pohozaev-Nehari identity  
Symmetry breaking via Morse index for equations and systems of Henon-Schrodinger type 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 卷号: 70, 期号: 1, 页码: 19
作者:  Lou, Zhenluo;  Weth, Tobias;  Zhang, Zhitao
收藏  |  浏览/下载：141/0  |  提交时间：2019/03/05
Symmetry breaking  Morse index  Henon-Schrodinger system  Ground state solution  35B06  35J50  35J57  
Three-component nonlinear Schrodinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 卷号: 62, 页码: 117-133
作者:  Zhang, Guoqiang;  Yan, Zhenya
收藏  |  浏览/下载：160/0  |  提交时间：2018/07/30
equations  Modulational instability  Darboux transformation  Nth-order vector rational and semi-rational  rogue waves  Superposition of rogue waves  Dynamics  
GROUND AND BOUND STATE SOLUTIONS FOR A SCHRODINGER SYSTEM WITH LINEAR AND NONLINEAR COUPLINGS IN R-N 期刊论文
ADVANCES IN DIFFERENTIAL EQUATIONS, 2018, 卷号: 23, 期号: 7-8, 页码: 615-648
作者:  Perera, Kanishka;  Tintarev, Cyril;  Wang, Jun;  Zhang, Zhitao
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
A novel hierarchy of two-family-parameter equations: Local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrodinger equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 79, 页码: 123-130
作者:  Yan, Zhenya
收藏  |  浏览/下载：137/0  |  提交时间：2018/07/30
Two families of parameters  Local, nonlocal, and mixed-local-nonlocal VNLS equations  Lax pair  Conservation laws  PT symmetry  Symmetry reductions  
SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 卷号: 17, 期号: 3, 页码: 787-806
作者:  Zhang, Zhitao;  Luo, Haijun
收藏  |  浏览/下载：140/0  |  提交时间：2018/09/08
Nonlinear elliptic system  ground state solution  foliated Schwarz symmetric  asymptotic limits