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.
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页码：133 / 139
页数：7
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