Symmetry Reduction and Cauchy Problems for a Class of Fourth-Order Evolution Equations

作     者：LI Ji-Na ZHANG Shun-Li 

作者机构：Center for Nonlinear Studies Department of Mathematics Northwest University Xi＇an 710069 China Center of Nonlinear Science Ningbo University Ningbo 315211 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第50卷第7期

页      面：31-38页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：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 

主　　题：fourth-order evolution equation generalized conditional symmetry Cauchy problem 

摘      要：We exploit higher-order conditional symmetry to reduce initial-value problems for evolution equations toCauchy problems for systems of ordinary differential equations (ODEs).We classify a class of fourth-order evolutionequations which admit certain higher-order generalized conditional symmetries (GCSs) and give some examples to showthe main reduction *** reductions cannot be derived within the framework of the standard Lie approach,which hints that the technique presented here is something essential for the dimensional reduction of evolu tion equations.