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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
Authors:  Zhou, Zijian;  Song, Jin;  Weng, Weifang;  Yan, Zhenya
Favorite  |  View/Download：12/0  |  Submit date：2023/02/07
Logarithmic nonlinear Schrodinger  equation  PT-symmetric potentials  Stable solitons  Interactions  Excitations  
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
Authors:  Wang, Ting;  Chen, Huajie;  Zhou, Aihui;  Zhou, Yuzhi
Favorite  |  View/Download：65/0  |  Submit date：2022/04/02
Incommensurate system  time-dependent Schrodinger equation  time stepping scheme  
Data-driven rogue waves and parameter discovery in the defocusing nonlinear Schrodinger equation with a potential using the PINN deep learning 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 404, 页码: 7
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download：77/0  |  Submit date：2021/10/26
Defocusing NLS equation with the  time-dependent potential  Initial-boundary value conditions  Physics-informed neural networks  Deep learning  Data-driven rogue waves and parameter discovery  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
Authors:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
Favorite  |  View/Download：116/0  |  Submit date：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
Rogue wave formation and interactions in the defocusing nonlinear Schrodinger equation with external potentials 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
Authors:  Wang, Li;  Yan, Zhenya
Favorite  |  View/Download：116/0  |  Submit date：2021/01/14
Defocusing nonlinear Schrodinger equation  Modulational instability  PT-symmetric potential  Rogue waves  W-shaped solitons  
Three-dimensional rogue waves in nonstationary parabolic potentials 期刊论文
PHYSICAL REVIEW E, 2010, 卷号: 82, 期号: 3, 页码: 7
Authors:  Yan, Zhenya;  Konotop, V. V.;  Akhmediev, N.
Favorite  |  View/Download：67/0  |  Submit date：2018/07/30
EXTENDED SYMMETRIES AND SOLUTIONS OF (2+1)-DIMENSIONAL NONLINEAR SCHRODINGER EQUATION WITH VARIABLE COEFFICIENTS 期刊论文
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2009, 卷号: 20, 期号: 11, 页码: 1681-1696
Authors:  Wang, Jia;  Li, Biao
Favorite  |  View/Download：61/0  |  Submit date：2018/07/30
Generalized symmetry group method  (2+1)-dimensional NLS equation  solutions  
Solitons in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential 期刊论文
PHYSICAL REVIEW A, 2008, 卷号: 78, 期号: 2, 页码: 6
Authors:  Li, Biao;  Zhang, Xiao-Fei;  Li, Yu-Qi;  Chen, Yong;  Liu, W. M.
Favorite  |  View/Download：59/0  |  Submit date：2018/07/30
Optimization of explicit symplectic schemes for time-dependent Schrodinger equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 卷号: 50, 期号: 3-4, 页码: 637-644
Authors:  Liu, XY;  Ding, PZ;  Hong, JL;  Wang, LJ
Favorite  |  View/Download：45/0  |  Submit date：2018/07/30
symplectic scheme  wave function  Schrodinger equation  
The Cauchy problem for non-autonomous nonlinear Schrodinger equations 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2005, 卷号: 48, 期号: 4, 页码: 522-538
Authors:  Pang, PYH;  Tang, HY;  Wang, YD
Favorite  |  View/Download：81/0  |  Submit date：2018/07/30
non-autonomous Schrodinger equations  local existence  global existence