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Semi-rational vector rogon-soliton solutions and asymptotic analysis for any n-component nonlinear Schrodinger equation with mixed boundary conditions 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2022, 卷号: 432, 页码: 15
Authors:  Weng, Weifang;  Zhang, Guoqiang;  Zhang, Minghe;  Zhou, Zijian;  Yan, Zhenya
Favorite  |  View/Download:29/0  |  Submit date:2022/04/29
N-component NLS equation  Mixed non-zero and zero backgrounds  Semi-rational rogon-soliton solutions  Soliton-like solutions  Asymptotic analysis  
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions 期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
Authors:  Weng, Weifang;  Yan, Zhenya
Favorite  |  View/Download:28/0  |  Submit date:2021/10/26
Focusing NLS hierarchy  Inverse scattering  Riemann-Hilbert problem  Nonzero boundary conditions  N-triple-pole solitons and breathers  
Parity-time-symmetric rational vector rogue waves of the n-component nonlinear Schrodinger equation 期刊论文
CHAOS, 2021, 卷号: 31, 期号: 6, 页码: 9
Authors:  Zhang, Guoqiang;  Ling, Liming;  Yan, Zhenya;  Konotop, Vladimir V.
Favorite  |  View/Download:11/0  |  Submit date:2022/04/02
A WONG-ZAKAI THEOREM FOR THE STOCHASTIC MASS-CRITICAL NONLINEAR SCHRODINGER EQUATION 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 3681-3715
Authors:  Fan, Chenjie;  Xu, Weijun
Favorite  |  View/Download:24/0  |  Submit date:2021/10/26
Wong-Zakai  mass-critical  stochastic NLS  
The higher-order nonlinear Schrodinger equation with non-zero boundary conditions: Robust inverse scattering transform, breathers, and rogons 期刊论文
PHYSICS LETTERS A, 2019, 卷号: 383, 期号: 29, 页码: 11
Authors:  Chen, Shuyan;  Yan, Zhenya
Favorite  |  View/Download:63/0  |  Submit date:2020/01/10
Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
The NLS(n, n) equation: Multi-hump compactons and their stability and interaction scenarios 期刊论文
CHAOS SOLITONS & FRACTALS, 2019, 卷号: 122, 页码: 25-31
Authors:  Yan, Zhenya
Favorite  |  View/Download:46/0  |  Submit date:2020/01/10
Nonlinear dispersion  NLS(n, n) equation  Multi-hump compactons  Soliton-like solutions  Stability  Interactions  
Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
Authors:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
Favorite  |  View/Download:58/0  |  Submit date:2019/03/11
Stochastic nonlinear Schrodinger equation  Strong convergence rate  Exponential integrability  Splitting scheme  Non-monotone coefficients  
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:22/0  |  Submit date:2018/07/30
Energy-Critical NLS with Quadratic Potentials 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2009, 卷号: 34, 期号: 12, 页码: 1531-1565
Authors:  Killip, Rowan;  Visan, Monica;  Zhang, Xiaoyi
Favorite  |  View/Download:24/0  |  Submit date:2018/07/30
Energy critical  Nonlinear Schrodinger equation  
The nonlinear Schrodinger equation with combined power-type nonlinearities 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2007, 卷号: 32, 期号: 7-9, 页码: 1281-1343
Authors:  Tao, Terence;  Visan, Monica;  Zhang, Xiaoyi
Favorite  |  View/Download:17/0  |  Submit date:2018/07/30
energy-critical  mass-critical  nonlinear Schrodinger equation  well-posedness