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

页码：207 / 212

页数：6

共 23 条

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BLUMAN GW, 1969, J MATH MECH, V18, P1025

[2] EXACT SOLVABILITY OF THE MULLINS NONLINEAR DIFFUSION-MODEL OF GROOVE DEVELOPMENT [J].