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

作　　者：左进明 张耀明 

机构地区：[1]School of Science,Shandong University of Technology

出　　处：《Chinese Physics B》2011年第1期69-75,共7页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.10871117 and 10571110)

摘　　要：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.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.

关 键 词：coupled Burgers equation high-order Boussinesq-Burgers equation Hirota＇s bilinear method 

分 类 号：O411.1[理学—理论物理] O175[理学—物理]