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Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach 期刊论文
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2021, 卷号: 24, 期号: 2, 页码: 37
Authors:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:24/0  |  Submit date:2021/06/01
Focusing Hirota equation  Non-zero boundary conditions  Inverse scattering  Oscillatory Riemann-Hilbert problem  Nonlinear steepest-descent method  Long-time asymptotics  
Focusing and defocusing Hirota equations with non-zero boundary conditions: Inverse scattering transforms and soliton solutions 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2020, 卷号: 80, 页码: 22
Authors:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
Favorite  |  View/Download:38/0  |  Submit date:2020/01/10
Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
时间尺度上三阶Emden-Fowler中立型时滞动力方程的振动性和渐近性 期刊论文
应用数学学报, 2020, 卷号: 43.0, 期号: 003, 页码: 502-516
Authors:  仉志余;  张燕燕;  俞元洪
Favorite  |  View/Download:11/0  |  Submit date:2021/01/14
时间尺度  三阶非线性动力方程  Emden-Fowler方程  中立型  振动准则  渐近性  
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
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Higher-order nonlinear Schrodinger equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers, rogons  Solitons  
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:23/0  |  Submit date:2020/01/10
Hirota equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers  Rogue waves  
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
Authors:  Yan, Zhenya
Favorite  |  View/Download:37/0  |  Submit date:2020/01/10
Stable flat-top solitons and peakons in the PT-symmetric delta-signum potentials and nonlinear media 期刊论文
CHAOS, 2019, 卷号: 29, 期号: 8, 页码: 10
Authors:  Chen, Yong;  Yan, Zhenya;  Mihalache, Dumitru
Favorite  |  View/Download:28/0  |  Submit date:2020/01/10
Attraction centers and parity-time-symmetric delta-functional dipoles in critical and supercritical self-focusing media 期刊论文
PHYSICAL REVIEW E, 2019, 卷号: 99, 期号: 5, 页码: 10
Authors:  Wang, Li;  Malomed, Boris A.;  Yan, Zhenya
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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:24/0  |  Submit date:2020/01/10
Nonlinear dispersion  NLS(n, n) equation  Multi-hump compactons  Soliton-like solutions  Stability  Interactions  
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2019, 卷号: 475, 期号: 2222, 页码: 20
Authors:  Zhang, Guoqiang;  Yan, Zhenya;  Wang, Li
Favorite  |  View/Download:27/0  |  Submit date:2020/01/10
general coupled Hirota equations  modulational instability  high-order vector rational or semirational rogue waves  multi-dark-dark solitons  dynamics