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

页码：383 / 397

页数：15

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