Cauchy Problems for KdV-type Equations and Higher-Order Conditional Symmetries

作     者：LI Ji-Na ZHANG Shun-Li ZUO Su-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49卷第3期

页      面：545-548页

核心收录：

学科分类：080805[工学-电工理论与新技术] 080904[工学-电磁场与微波技术] 0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：supported by 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：KdV-type equations generalized conditional symmetry Cauchy problem 

摘      要：We develop the generalized conditional symmetry （GCS） approach to solve the problem of dimensional reduction of Cauchy problems for the KdV-type equations. We characterize these equations that admit certain higherorder GCSs and show the main reduction procedure by some examples. The obtained reductions cannot be derived within the framework of the standard Lie approach.