Darboux transformation and multi-soliton solutions for some soliton equations

Zhaqilao; Yong Chen; Zhi Bin Li

doi:10.1016/j.chaos.2008.02.039

Darboux transformation and multi-soliton solutions for some soliton equations

Zhaqilao
, Yong Chen
, Zhi Bin Li^*

^*此作品的通讯作者

数学科学学院

East China Normal University
Inner Mongolia Normal University China

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

A class of new spectral problems associated with a Broer-Kaup-Kupershmidt and a Boussinesq-Burgers soliton hierarchy are presented. They are used to generate some new soliton equations. The Darboux transformation for these spectral problems is constructed with the help of a gauge transformation. Finally, by applying the Darboux transformation, some new soliton solutions of these soliton equations are obtained. Some interesting solutions of multi-peak soliton have been found.

源语言	英语
页（从-至）	661-670
页数	10
期刊	Chaos, Solitons and Fractals
卷	41
期	2
DOI	https://doi.org/10.1016/j.chaos.2008.02.039
出版状态	已出版 - 30 7月 2009

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10.1016/j.chaos.2008.02.039

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N2 - A class of new spectral problems associated with a Broer-Kaup-Kupershmidt and a Boussinesq-Burgers soliton hierarchy are presented. They are used to generate some new soliton equations. The Darboux transformation for these spectral problems is constructed with the help of a gauge transformation. Finally, by applying the Darboux transformation, some new soliton solutions of these soliton equations are obtained. Some interesting solutions of multi-peak soliton have been found.

AB - A class of new spectral problems associated with a Broer-Kaup-Kupershmidt and a Boussinesq-Burgers soliton hierarchy are presented. They are used to generate some new soliton equations. The Darboux transformation for these spectral problems is constructed with the help of a gauge transformation. Finally, by applying the Darboux transformation, some new soliton solutions of these soliton equations are obtained. Some interesting solutions of multi-peak soliton have been found.

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Darboux transformation and multi-soliton solutions for some soliton equations

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