%0 Journal Article
%T Symmetry groups and spiral wave solution of a wave propagation equation
%A Zhang Quan-Ju
%A Qu Chang-Zheng
%A <br>张全举
%A 屈长征
%J 中国物理 B
%D 2002
%I 
%X 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.
%K Symmetry group
%K optimal system
%K wave propagation
%K spiral wave<br>对称群
%K 波传播方程
%K 螺旋波
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=F21EF867296554B488369C87C4B3363F&yid=C3ACC247184A22C1&vid=708DD6B15D2464E8&iid=38B194292C032A66&sid=334E2BB8B9A55ABB&eid=D2742EEE6F4DF8FE&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=0