On exact solutions of the Bogoyavlenskii equation

被引：24

作者：

Peng, Yan-Ze ^{[1
]}

Shen, Ming ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Math, Wuhan 430074, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2006年 / 67卷 / 03期

关键词：

Bogoyavlenskii equation; travelling wave method; singular manifold method;

D O I：

10.1007/s12043-006-0005-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact solutions for the Bogoyavlenskii equation are studied by the travelling wave method and the singular manifold method. It is found that the linear superposition of the shock wave solution and the complex solitary wave solution for the physical field is still a solution of the equation of interest, except for a phase-shift. The dromion-like structures with elastic and nonelastic interactions are found.

引用

页码：449 / 456

页数：8

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