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 / 22卷 / 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：
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.
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页码：40 / 45
页数：6
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