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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：61/0  |  Submit date：2023/02/07
Logarithmic nonlinear Schrodinger  equation  PT-symmetric potentials  Stable solitons  Interactions  Excitations  
Semi-rational vector rogon-soliton solutions of the five-component Manakov/NLS system with mixed backgrounds 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 125, 页码: 8
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Zhou, Zijian;  Yan, Zhenya
Favorite  |  View/Download：78/0  |  Submit date：2022/04/02
Five-component Manakov system  Non-zero/zero background  Semi-rational solutions  Rogue waves/rogons  Solitons  
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：126/0  |  Submit date：2021/01/14
Defocusing nonlinear Schrodinger equation  Modulational instability  PT-symmetric potential  Rogue waves  W-shaped solitons  
A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 111, 页码: 9
Authors:  Wang, Qin;  Li, Hongliang;  Zhang, Linbo;  Lu, Benzhuo
Favorite  |  View/Download：141/0  |  Submit date：2021/01/14
Poisson-Nernst-Planck  Stabilized finite element method  SUPG  interior penalty  
Identifying weak focus and center in a convection model 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 100, 页码: 7
Authors:  Guo, Laigang;  Yu, Pei;  Chen, Yufu
Favorite  |  View/Download：98/0  |  Submit date：2020/05/24
Convection model  3-dimensional quadratic system  Normal form  Limit cycle  
Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 99, 页码: 8
Authors:  Luo, Fusheng;  Xie, Hehu;  Xie, Manting;  Xu, Fei
Favorite  |  View/Download：150/0  |  Submit date：2020/01/10
Molecular beam epitaxy  Adaptive time-stepping method  Equidistribution of energy  Equidistribution of roughness  
The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves 期刊论文
APPLIED MATHEMATICS LETTERS, 2019, 卷号: 95, 页码: 65-71
Authors:  Chen, Shuyan;  Yan, Zhenya
Favorite  |  View/Download：124/0  |  Submit date：2020/01/10
Hirota equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers  Rogue waves  
On relaxed greedy randomized Kaczmarz methods for solving large sparse linear systems 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 83, 页码: 21-26
Authors:  Bai, Zhong-Zhi;  Wu, Wen-Ting
Favorite  |  View/Download：110/0  |  Submit date：2018/07/30
System of linear equations  Kaczmarz method  Randomized iteration  Relaxation  Convergence property  
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
Authors:  Yan, Zhenya
Favorite  |  View/Download：96/0  |  Submit date：2018/07/30
Two families of parameters  Local, nonlocal, and mixed-local-nonlocal VNLS equations  Lax pair  Conservation laws  PT symmetry  Symmetry reductions  
Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation 期刊论文
APPLIED MATHEMATICS LETTERS, 2018, 卷号: 75, 页码: 30-36
Authors:  Yu, Xin;  Sun, Zhi-Yuan;  Zhou, Kai-Wen;  Shen, Yu-Jia
Favorite  |  View/Download：122/0  |  Submit date：2018/07/30
Variable-coefficient forced KdV equation  Nonlinear tunneling  Spacial inhomogeneity  Bilinear method