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
收藏
页码：14 / 27
页数：14
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