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 in:Chinese physics B 2011, Vol.20 (1), p.69-75
Main Author: 左进明 张耀明
Format: Article
Language:English
Subjects:
Burgers方程
双线性方法
可积方程
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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.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/20/1/010205