Evolution Property of soliton solutions for the Whitham-Broer-Kaup equation and variant Boussinesq equation

• 来源期刊: 中国物理（英文版）
• 关键词: soliton solution soliton fission and fusion Painleve analysis approach (1+ 1)-dimensional partial differential equation
• 年，卷（期）: 2003,（10）
• 页码范围: 1049-1053
• 页数: 5页
• 语种: 英文

摘要

Using the standard Painleve analysis approach, the (1 + 1)-dimensional Whitham-Broer-Kaup (WBK) and variant Boussinesq equations are solved. Some significant and exact solutions are given. We investigate the behaviour of the interactions between the multi-soliton-kink-type solution for the WBK equation and the multi-solitonic solutions and find the interactions are not elastic. The fission of solutions for the WBK equation and the fusions of those for the variant Boussinesq equation may occur after their interactions.