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Local Well-posedness of the Derivative Schrodinger Equation in Higher Dimension for Any Large Data 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 6, 页码: 977-998
作者:  Guo, Boling;  Huo, Zhaohui
收藏  |  浏览/下载：53/0  |  提交时间：2023/02/07
Well-posedness  Derivative Schrodinger equation in higher dimension  Short-time X-s,X-b  Large initial data  
Quasilinear Schrodinger equations with bounded coefficients 期刊论文
NONLINEARITY, 2022, 卷号: 35, 期号: 10, 页码: 4939-4985
作者:  Jing, Yongtao;  Liu, Haidong;  Zhang, Zhitao
收藏  |  浏览/下载：29/0  |  提交时间：2023/02/07
quasilinear Schrodinger equation  variational method  multiple solutions  sign-changing solutions  
Stable solitons and interactions of the logarithmic nonlinear Schrodinger equation with two PT-symmetric non-periodic potentials
 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 132, 页码: 9
作者:  Zhou, Zijian;  Song, Jin;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：160/0  |  提交时间：2023/02/07
Logarithmic nonlinear Schrodinger  equation  PT-symmetric potentials  Stable solitons  Interactions  Excitations  
PT-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: Stability, interactions and adiabatic excitations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 435, 页码: 14
作者:  Song, Jin;  Zhou, Zijian;  Weng, Weifang;  Yan, Zhenya
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Generalized nonlinear Schrodinger  equation  Stable peakon solution  Interactions  Adiabatic excitations  PT-symmetric 8(x)-csch potential  
Normalized solutions of mass subcritical Schrodinger equations in exterior domains 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 卷号: 29, 期号: 3, 页码: 25
作者:  Zhang, Zexin;  Zhang, Zhitao
收藏  |  浏览/下载：110/0  |  提交时间：2022/04/29
Normalized solution  Critical point  Minimax theorem  Schrodinger equation  Exterior domain  
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrodinger Equation 期刊论文
POTENTIAL ANALYSIS, 2022, 页码: 41
作者:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong;  Sun, Liying
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/29
Large deviations principle  Symplectic discretizations  Stochastic Schrodinger equation  Rate function  Exponential tightness  
Stable dynamics and excitations of single- and double-hump solitons in the Kerr nonlinear media with PT-symmetric HHG potentials 期刊论文
NONLINEAR DYNAMICS, 2022, 页码: 12
作者:  Li, Xin;  Wang, Li;  Zhou, Zijian;  Chen, Yong;  Yan, Zhenya
收藏  |  浏览/下载：134/0  |  提交时间：2022/04/29
Nonlinear Schrodinger equation  PT-symmetric harmonic-hyperbolic-Gaussian potential  Soliton stability  Soliton excitations and collisions  
Robust Tracking Error Feedback Control for a One-Dimensional Schrodinger Equation 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 3, 页码: 1120-1134
作者:  Liu, Jun-Jun;  Guo, Bao-Zhu
收藏  |  浏览/下载：105/0  |  提交时间：2022/04/29
Mathematical model  Feedback control  Regulation  Observers  Feedforward systems  Eigenvalues and eigenfunctions  Convergence  Internal model principle  output tracking  robust control  Schrodinger equation  
Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schrodinger equations 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 430, 页码: 14
作者:  Chen, Yong;  Yan, Zhenya;  Malomed, Boris A.
收藏  |  浏览/下载：126/0  |  提交时间：2022/04/29
Higher-dimensional nonlinear Schrodinger equation  PT -symmetric potentials  Stable solitons  Adiabatic management  
Order reduction-based uniform approximation of exponential stability for one-dimensional Schrodinger equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 160, 页码: 9
作者:  Liu, Jiankang;  Hao, Ruiqi;  Guo, Bao-Zhu
收藏  |  浏览/下载：101/0  |  提交时间：2022/06/21
Schrodinger equation  Exponential stability  Uniform approximation  Order reduction method