Symmetry analysis for Whitham-Broer-Kaup equations

被引：22
|
作者：
Zhang, Zhiyong [1 ]
Yong, Xuelin [2 ]
Chen, Yufu [1 ]
机构：
[1] Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China
[2] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / 04期
关键词：
D O I：
10.2991/jnmp.2008.15.4.3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a further group analysis of Whitham-Broer-Kaup (for short WBK) equations. An optimal system of one-dimensional subalgebras is derived and used to construct reduced equations and similarity solutions. Moreover, a special case of WBK equations is linearized and some new solutions are obtained. At last, conservation laws are also analyzed by means of scaling symmetry.
引用
收藏
页码：383 / 397
页数：15
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