The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation

This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink （soliton） solutions and multiple-singular-kink （soliton） solutions are derived for the two equ...

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Bibliographic Details
Published inChinese physics B Vol. 20; no. 1; pp. 69 - 75
Main Author 左进明 张耀明
Format Journal Article
LanguageEnglish
Published IOP Publishing 2011
Subjects
Burgers方程
双线性方法
可积方程
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ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/20/1/010205

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Summary:This paper studies the coupled Burgers equation and the high-order Boussinesq-Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink （soliton） solutions and multiple-singular-kink （soliton） solutions are derived for the two equations.
Bibliography:coupled Burgers equation, high-order Boussinesq-Burgers equation, Hirota＇s bilinear method
O241.82
O411.1
11-5639/O4
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/1/010205