The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation
The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq-Burgers equation作者机构:School of ScienceShandong University of Technology
出 版 物:《Chinese Physics B》 (中国物理B(英文版))
年 卷 期:2011年第20卷第1期
页 面:69-75页
核心收录:
学科分类:07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0704[理学-天文学] 0701[理学-数学]
主 题:coupled Burgers equation high-order Boussinesq-Burgers equation Hirota's bilinear method
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.