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

doi:10.1016/j.cnsns.2010.10.012

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	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
Source Publication	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
ISSN	1007-5704
Volume	16 Issue:7 Pages:2709-2719
Abstract	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.
Keyword	Approximate symmetry Lie reduction Approximate invariant solution Optimal system
DOI	10.1016/j.cnsns.2010.10.012
Language	英语
WOS Research Area	Mathematics ; Mechanics ; Physics
WOS Subject	Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
WOS ID	WOS:000288639900007
Publisher	ELSEVIER SCIENCE BV
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/12953
Collection	中国科学院数学与系统科学研究院
Corresponding Author	Zhang, Zhiyong
Affiliation	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
Recommended Citation 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.

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