Multiple soliton solutions for the variant Boussinesq equations

Advances in Difference Equations

Liang-bi Wang¹  Peng Guo²  Xiang Wu³ 

[1] Key Laboratory of Railway Vehicle Thermal Engineering, Lanzhou Jiaotong University, Ministry of Education, Lanzhou, P.R. China;School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, P.R. China;School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou, P.R. China

关键词: Hirota bilinear method;    the variant Boussinesq equations;    multiple soliton solutions;    multiple singular soliton solutions;   

DOI  :  10.1186/s13662-015-0371-4

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The Hirota bilinear method is used to handle the variant Boussinesq equations. Multiple soliton solutions and multiple singular soliton solutions are formally established. It is shown that the Hirota bilinear method may provide us with a straightforward and effective mathematic tool for generating multiple soliton solutions of nonlinear wave equations in fluid mechanics.

【 授权许可】

CC BY