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

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• 作者：Cui-Cui Zhang ; Ai-Hua Chen ; ^{ahchen79@sina.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Classical Boussinesq&ndash ; Burgers system ; Bilinear form ; Multi-soliton solutions ; Asymptotic analysis
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：58
• 期：Complete
• 页码：133-139
• 全文大小：1953 K

文摘

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.