Symmetry Reduction of Initial-Value Problems for a Class of Third-order Evolution Equations  

作　　者：LI Ji-Na FENG Wei QI Xin-Lei ZHANG Shun-Li 

机构地区：[1]Center for Nonlinear Studies, Department of Mathematics, Northwest University, Xi＇an 710069, China [2]Center of Nonlinear Science, Ningbo University, Ningbo 315211, China

出　　处：《Communications in Theoretical Physics》2009年第7期55-59,共5页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.10447007 and 10671156;the Natural Science Foundation of Shaanxi Province of China under Grant No.2005A13

摘　　要：Symmetry reduction of a class of third-order evolution equations that admit certain generalized conditionalsymmetries (GCSs) is implemented.The reducibility of the initial-value problem for an evolution equation to a Cauchyproblem for a system of ordinary differential equations (ODEs) is characterized via the GCS and its Lie symmetry.Complete classification theorems are obtained and some examples are taken to show the main reduction procedure.

关 键 词：symmetry reduction third-order evolution equation Cauchy problem 

分 类 号：O316[理学—一般力学与力学基础] O175.29[理学—力学]