Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations

doi:10.1016/j.cnsns.2010.10.012

CSpace

	Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations
	Zhang, Zhiyong 1,2; Gao, Ben 1; Chen, Yufu 1
	2011-07-01
发表期刊	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
卷号	16 期号:7 页码:2709-2719
摘要	A complete second-order approximate symmetry classification of a class of perturbed non-linear wave equations with a arbitrary function is performed by means of the method originated from Fushchich and Shtelen. An optimal system of one-dimensional subalgebras is given. Based on the Lie symmetry reduction method, large classes of approximate reductions and invariant solutions of the equations are constructed. (C) 2010 Elsevier B.V. All rights reserved.
关键词	Approximate symmetry Lie reduction Approximate invariant solution Optimal system
DOI	10.1016/j.cnsns.2010.10.012
语种	英语
WOS研究方向	Mathematics ; Mechanics ; Physics
WOS类目	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS记录号	WOS:000288639900007
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12953
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, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, KLMM, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Zhiyong,Gao, Ben,Chen, Yufu. Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2011,16(7):2709-2719.
APA	Zhang, Zhiyong,Gao, Ben,&Chen, Yufu.(2011).Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,16(7),2709-2719.
MLA	Zhang, Zhiyong,et al."Second-order approximate symmetry classification and optimal system of a class of perturbed nonlinear wave equations".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 16.7(2011):2709-2719.