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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
作者:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：195/0  |  提交时间：2020/01/10
Hirota equation  Non-zero boundary conditions  Inverse scattering  Riemann-Hilbert problem  Solitons  Breathers  
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
作者:  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：172/0  |  提交时间：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
作者:  Yan, Zhenya
收藏  |  浏览/下载：173/0  |  提交时间：2020/01/10
Three-wave resonant interactions: Multi-dark-dark-dark solitons, breathers, rogue waves, and their interactions and dynamics 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2018, 卷号: 366, 页码: 27-42
作者:  Zhang, Guoqiang;  Yan, Zhenya;  Wen, Xiao-Yong
收藏  |  浏览/下载：162/0  |  提交时间：2018/07/30
Three-wave resonant interactions  Darboux transformation  Multi-dark-dark-dark soliton  Breathers  Rogue waves  Stability  
An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 x 4 Lax pair on the half-line 期刊论文
CHAOS, 2017, 卷号: 27, 期号: 5, 页码: 21
作者:  Yan, Zhenya
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Higher-order rational solitons and rogue-like wave solutions of the (2+1)-dimensional nonlinear fluid mechanics equations 期刊论文
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 卷号: 43, 页码: 311-329
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
(2+1)-Dimensional KP equation  Generalized perturbation Darboux transformation  Rational solitons  Rogue waves  
Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation 期刊论文
CHAOS, 2015, 卷号: 25, 期号: 12, 页码: 13
作者:  Wen, Xiao-Yong;  Yan, Zhenya
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
Generalized perturbation (n, M)-fold Darboux transformations and multi-rogue-wave structures for the modified self-steepening nonlinear Schrodinger equation 期刊论文
PHYSICAL REVIEW E, 2015, 卷号: 92, 期号: 1, 页码: 19
作者:  Wen, Xiao-Yong;  Yang, Yunqing;  Yan, Zhenya
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30