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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:17/0  |  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:13/0  |  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:21/0  |  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:3/0  |  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:5/0  |  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:4/0  |  Submit date:2018/07/30
energy-critical  mass-critical  nonlinear Schrodinger equation  well-posedness  
Envelope compactons and solitary patterns 期刊论文
PHYSICS LETTERS A, 2006, 卷号: 355, 期号: 3, 页码: 212-215
Authors:  Yan, Zhenya
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
NLS(m, n) equation  envelope compactons  envelope solitary patterns  conservation laws