The exact solution and integrable properties to the variable-coefficient modified Korteweg-de Vries equation

被引：44
|
作者：
Zhang, Yi [1 ]
Li, Jibin [1 ]
Lv, Yi-Neng [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
ANNALS OF PHYSICS | 2008年 / 323卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Soliton; vc-mKdV equation; Backlund transformation; Lax pairs; Bidirectional wave interaction;
D O I：
10.1016/j.aop.2008.04.012
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a variable-coefficient modified Korteweg-de Vries (vc-mKdV) equation is investigated. With the help of symbolic computation, the N-soliton solution is derived through the Hirota method. Then the bilinear Backlund transformations and Lax pairs are presented. At last, we show some interactions of solitary waves. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：3059 / 3064
页数：6
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