Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg-de Vries equation

被引：18
|
作者：
Geng, Xianguo [1 ]
Ren, Hongfeng [1 ]
He, Guoliang [1 ]
机构：
[1] Zhengzhou Univ, Dept Math, Zhengzhou 450052, Henan, Peoples R China
来源：
PHYSICAL REVIEW E | 2009年 / 79卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Korteweg-de Vries equation; matrix algebra; nonlinear equations; SOLITARY WAVE SOLUTIONS; KDV EQUATION;
D O I：
10.1103/PhysRevE.79.056602
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A Darboux transformation for the generalized Hirota-Satsuma coupled Korteweg-de Vries (KdV) equation is derived with the aid of the gauge transformation between the corresponding 4x4 matrix spectral problems with three potentials, by which some explicit solutions of the generalized Hirota-Satsuma coupled KdV equation are constructed. As a reduction, a Darboux transformation of the complex coupled KdV equation and its explicit solutions are obtained.
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收藏
页数：9
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