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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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
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/20/1/010205

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Abstract 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.
AbstractList 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.
Author 左进明 张耀明
AuthorAffiliation School of Science, Shandong University of Technology, Zibo 255049, China
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Notes coupled Burgers equation, high-order Boussinesq-Burgers equation, Hirota＇s bilinear method
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Snippet 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...
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SubjectTerms Burgers方程
双线性方法
可积方程
Title The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation
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