Deformed soliton, breather and rogue wave solutions of an inhomogeneous nonlinear Hirota equation

被引：8

作者：

Liu, Xiaotong ^{[1
]}

Yong, Xuelin ^{[1
]}

Huang, Yehui ^{[1
]}

Yu, Rui ^{[2
]}

Gao, Jianwei ^{[3
]}

机构：

[1] North China Elect Power Univ, Sch Math Sci & Phys, Beijing 102206, Peoples R China

[2] Columbia Univ, Dept Ind Engn & Operat Res, New York, NY 10027 USA

[3] North China Elect Power Univ, Sch Econ & Managements, Beijing 102206, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 29卷 / 1-3期

基金：

中国国家自然科学基金;

关键词：

lnhomogeneous nonlinear Hirota equation; Darboux transformation; Soliton; Breather; Rogue wave; OPTICAL SOLITONS; DARBOUX TRANSFORMATION; SCHRODINGER-EQUATIONS; VARIABLE-COEFFICIENTS; SINGULARITY STRUCTURE; INTEGRABILITY; SYSTEM;

D O I：

10.1016/j.cnsns.2015.05.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, an inhomogeneous nonlinear Hirota equation with linear inhomogeneous coefficient and higher-order dispersion is investigated in detail. In describing wave propagation in the ocean and optical fibers, it can be viewed as an approximation which is more accurate than the nonlinear Schrodinger equation. Firstly, we modified the Darboux transformation technique to show how to construct solutions of this inhomogeneous equation which owns a non-isospectral Lax pair. Furthermore, the deformed soliton, breather and rogue wave solutions of this equation are studied via the Darboux transformation method, respectively. Finally, properties of those solutions in the inhomogeneous media are discussed to illustrate the influences of variable coefficients. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：257 / 266

页数：10

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