Bilinear form and new multi-soliton solutions of the classical Boussinesq-Burgers system

被引：25

作者：

Zhang, Cui-Cui ^{[1
]}

Chen, Ai-Hua ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2016年 / 58卷

基金：

中国国家自然科学基金;

关键词：

Classical Boussinesq-Burgers system; Bilinear form; Multi-soliton solutions; Asymptotic analysis; DARBOUX TRANSFORMATIONS; SOLITON-SOLUTIONS; EQUATIONS; EVOLUTION; WAVES;

D O I：

10.1016/j.aml.2016.02.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the multi-soliton solutions and their interactions of the classical Boussinesq-Burgers (CBB) system describing propagations of shallow water waves. Based on the Hirota bilinear method, we obtain new multi-soliton solutions of the CBB system. By using asymptotic analysis, we find that the interactions of the multi-soliton solutions are purely elastic. The interactions are shown graphically. We also find that the multi-soliton solution types may depend on the parameter in the CBB system. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：133 / 139

页数：7

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