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

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	661-670
Number of pages	10
Journal	Chaos, Solitons and Fractals
Volume	41
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2008.02.039
State	Published - 30 Jul 2009

Access to Document

10.1016/j.chaos.2008.02.039

Cite this

@article{4c1343ad71874de5845e2937598b4105,

title = "Darboux transformation and multi-soliton solutions for some soliton equations",

abstract = "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.",

author = "Zhaqilao and Yong Chen and Li, \{Zhi Bin\}",

year = "2009",

month = jul,

day = "30",

doi = "10.1016/j.chaos.2008.02.039",

language = "英语",

volume = "41",

pages = "661--670",

journal = "Chaos, Solitons and Fractals",

issn = "0960-0779",

publisher = "Elsevier Ltd",

number = "2",

}

TY - JOUR

T1 - Darboux transformation and multi-soliton solutions for some soliton equations

AU - Zhaqilao,

AU - Chen, Yong

AU - Li, Zhi Bin

PY - 2009/7/30

Y1 - 2009/7/30

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.

UR - https://www.scopus.com/pages/publications/67349202762

U2 - 10.1016/j.chaos.2008.02.039

DO - 10.1016/j.chaos.2008.02.039

M3 - 文章

AN - SCOPUS:67349202762

SN - 0960-0779

VL - 41

SP - 661

EP - 670

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

Darboux transformation and multi-soliton solutions for some soliton equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this