A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations

doi:10.1016/j.na.2011.03.005

	A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations
	Zhang, Zhiyong 1,2; Chen, Yufu 2
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2011-09-01
卷号	74 期号:13 页码:4300-4318
关键词	Approximate symmetry Optimal system Reduction Approximate homotopy symmetry
ISSN号	0362-546X
DOI	10.1016/j.na.2011.03.005
英文摘要	A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations is performed. First, complete infinite-order approximate symmetry classification of the equation is obtained by means of the method originated by Fushchich and Shtelen. An optimal system of one-dimensional subalgebras is derived and used to construct general formulas of approximate symmetry reductions and similarity solutions. Second, we study approximate homotopy symmetry of the equation and construct connections between the two symmetry methods for the first-order and higher-order cases, respectively. The series solutions derived by the two methods are compared. (c) 2011 Elsevier Ltd. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000291006900002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11295]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Zhiyong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhiyong,Chen, Yufu. A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(13):4300-4318.
APA	Zhang, Zhiyong,&Chen, Yufu.(2011).A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(13),4300-4318.
MLA	Zhang, Zhiyong,et al."A comparative study of approximate symmetry and approximate homotopy symmetry to a class of perturbed nonlinear wave equations".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.13(2011):4300-4318.