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Rational vector rogue waves for the n-component Hirota equation with non-zero backgrounds 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2021, 卷号: 427, 页码: 13
作者:  Weng, Weifang;  Zhang, Guoqiang;  Wang, Li;  Zhang, Minghe;  Yan, Zhenya
收藏  |  浏览/下载：155/0  |  提交时间：2022/04/29
n-component Hirota equation  Non-zero backgrounds  Modified Darboux transform  Multiple roots  Rational RWs and W-shaped solitons  Non-integrable deformation  
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
作者:  Chen, Shuyan;  Yan, Zhenya;  Guo, Boling
收藏  |  浏览/下载：168/0  |  提交时间：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
作者:  Zhang, Guoqiang;  Chen, Shuyan;  Yan, Zhenya
收藏  |  浏览/下载：182/0  |  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：161/0  |  提交时间：2020/01/10
Hirota equation  Non-zero boundary conditions  Riemann-Hilbert problem  Darboux transform  Breathers  Rogue waves  
Optical temporal rogue waves in the generalized inhomogeneous nonlinear Schrodinger equation with varying higher-order even and odd terms 期刊论文
NONLINEAR DYNAMICS, 2015, 卷号: 81, 期号: 1-2, 页码: 833-842
作者:  Yang, Yungqing;  Wang, Xin;  Yan, Zhenya
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
The generalized nonlinear Schrodinger (NLS) equation  The LPD-Hirota equation  Similarity reduction method  Rogue wave solutions  Motions of the hump and valleys  
Single and multi-solitary wave solutions to a class of nonlinear evolution equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 1, 页码: 273-298
作者:  Wang, Deng-Shan;  Li, Hongbo
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
travelling wave solution  multi-solitary wave  factorization technique  Bessel functions  Hirota's bilinear method  Painleve analysis  Riccati equation  elliptic equation  
Well-posedness for the Cauchy problem to the Hirota equation in Sobolev spaces of negative indices 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2005, 卷号: 26, 期号: 1, 页码: 75-88
作者:  Huo, ZH;  Jia, YL
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30
Fourier restriction norm  trilinear estimates  Hirota equation  low regularity  global well-posedness  
Homoclinic orbits for the coupled Schrodinger-boussinesq equation and coupled Higgs equation 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 卷号: 72, 期号: 1, 页码: 189-190
作者:  Hu, XB;  Guo, BL;  Tam, HW
收藏  |  浏览/下载：75/0  |  提交时间：2018/07/30
homoclinic orbits  coupled Schrodinger-Boussinesq equation  coupled Higgs equation  Hirota's method  
Some new results on a highly nonlinear differential-difference equation 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1998, 卷号: 67, 期号: 10, 页码: 3645-3646
作者:  Wu, YT;  Hu, XB
收藏  |  浏览/下载：53/0  |  提交时间：2018/07/30
solitons  integrable differential-difference equation  Hirota method  Backlund transformations  
Application of the Hirota bilinear formalism to a new integrable differential-difference equation 期刊论文
PHYSICS LETTERS A, 1998, 卷号: 246, 期号: 6, 页码: 523-529
作者:  Hu, XB;  Wu, YT
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
solitons  integrable differential-difference equation  Hirota's method  Backlund transformation