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

文献类型：期刊论文

作者Zhang, Zhiyong1,2; Gao, Ben1; Chen, Yufu1
刊名COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
出版日期2011-07-01
卷号16期号:7页码:2709-2719
关键词Approximate symmetry Lie reduction Approximate invariant solution Optimal system
ISSN号1007-5704
DOI10.1016/j.cnsns.2010.10.012
英文摘要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.
WOS研究方向Mathematics ; Mechanics ; Physics
语种英语
WOS记录号WOS:000288639900007
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12952]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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