N-soliton solutions of an integrable equation studied by Qiao

被引：0

作者：

扎其劳 ^{[1
]}

机构：

[1] College of Mathematics Science, Inner Mongolia Normal University

来源：

Chinese Physics B | 2013年 / 04期

基金：

中国国家自然科学基金;

关键词：

soliton solution; Darboux transformation; integrable equation;

D O I：

暂无

中图分类号：

O175.5 [积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we studied N-soliton solutions of a new integrable equation studied by Qiao [J. Math. Phys. 48 082701 (2007)]. Firstly, we employed the Darboux matrix method to construct a Darboux transformation for the modified Korteweg-de Vries equation. Then we use the Darboux transformation and a transformation, introduced by Sakovich [J. Math. Phys. 52 023509 (2011)], to derive N-soliton solutions of the new integrable equation from the seed solution. In particular, the multiple soliton solutions are explicitly obtained and shown through some figures.

引用

页码：40 / 45

页数：6

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