Symmetry groups and spiral wave solution of a wave propagation equation

被引：2
|
作者：
Zhang, QJ [1 ]
Qu, CZ
机构：
[1] Xidian Univ, Sch Sci, Xian 710071, Peoples R China
[2] NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
来源：
CHINESE PHYSICS | 2002年 / 11卷 / 03期
关键词：
symmetry group; optimal system; wave propagation; spiral wave;
D O I：
10.1088/1009-1963/11/3/301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a third-order nonlinear evolution equation, which can be transformed to the modified KdV equation, using the Lie symmetry method. The Lie point symmetries and the one-dimensional optimal system of the symmetry algebras are determined. Those symmetries are some types of nonlocal symmetries or hidden symmetries of the modified KdV equation. The group-invariant solutions, particularly the travelling wave and spiral wave solutions, are discussed in detail, and a type of spiral wave solution which is smooth in the origin is obtained.
引用
收藏
页码：207 / 212
页数：6
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