Multi-rogue waves and rational solutions of the coupled nonlinear Schrodinger equations

被引：78

作者：

Zhai, Bao-Guo ^{[1
]}

Zhang, Wei-Guo ^{[1
]}

Wang, Xiao-Li ^{[1
]}

Zhang, Hai-Qiang ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Coupled nonlinear Schrodinger equations; Rogue waves; Rational solutions; Modified Darboux transformation; TRANSFORMATION;

D O I：

10.1016/j.nonrwa.2012.04.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the modified Darboux transformation method is applied to the coupled nonlinear Schrodinger (CNLS) equations. By using the iterative algorithm of the Darboux transformation, the multi-rogue wave solutions of CNLS equations are generated from the plane wave solution. The hierarchies of first-, second- and third-order rational solutions with free parameters are explicitly presented. Some basic properties of multi-rogue waves and their collision structures are studied on the basis of the solutions obtained. In addition, the relation of rational solutions between N-CNLS equations and CNLS equations is explained. Our results might provide useful information for investigating the dynamics of multi-rogue waves in the deep ocean and nonlinear optical fibers. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：14 / 27

页数：14

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