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

被引：35

作者：

Ji, L ^{[1
]}

Xu, YS

Wu, FM

机构：

[1] Zhejiang Normal Univ, Inst Nonlinear Phys, Jinhua 321004, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China

来源：

CHINESE PHYSICS | 2003年 / 12卷 / 10期

关键词：

soliton solution; soliton fission and fusion; Painleve analysis approach; (1+1) -dimensional partial differential equation;

D O I：

10.1088/1009-1963/12/10/301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页码：1049 / 1053

页数：5

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