Approximate Similarity Reduction for Perturbed Kaup-Kupershmidt Equation via Lie Symmetry Method and Direct Method  

作　　者：刘希忠 

机构地区：[1]Department of Physics,Shanghai Jiao Tong University

出　　处：《Communications in Theoretical Physics》2010年第11期797-802,共6页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.10735030,10475055,10675065,and 90503006;National Basic Research Program of China (973 Program 2007CB814800)

摘　　要：The perturbed Kaup-Kupershmidt equation is investigated in terms of the approximate symmetry perturbationmethod and the approximate direct method.The similarity reduction solutions of different orders are obtainedfor both methods, series reduction solutions are consequently derived.Higher order similarity reduction equations arelinear variable coefficients ordinary differential equations.By comparison, it is find that the results generated from theapproximate direct method are more general than the results generated from the approximate symmetry perturbationmethod.

关 键 词：perturbed Kaup-Kupershmidt equation approximate symmetry perturbation method approxi-mate direct reduction method series reduction solutions 

分 类 号：O175[理学—数学]