Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE

doi:10.1016/j.amc.2009.01.059

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	Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE
	Mei, Jianqin 1,2; Zhang, Hongqing 1
	2009-05-15
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	211 期号:2 页码:347-353
摘要	The symmetry of the (3 + 1)-dimensional partial differential equation has been derived via a direct symmetry method and proved to be in finite dimensional non-Virasoro type symmetry algebra. Many kinds of symmetry reductions have been obtained, including the (2 + 1)-dimensional ANNV equation and breaking soliton equation. And some new soliton solutions and complex solutions are obtained due to the Riccati equation method and symbolic computation. Crown Copyright (c) 2009 Published by Elsevier Inc. All rights reserved.
关键词	Symmetry reduction Lie algebra Jimbo-Miwa equation Soliton solution
DOI	10.1016/j.amc.2009.01.059
语种	英语
资助项目	National Key Basic Research Project of China[2004CB3180 00]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000265783700009
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9220
专题	中国科学院数学与系统科学研究院
通讯作者	Mei, Jianqin
作者单位	1.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 2.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Mei, Jianqin,Zhang, Hongqing. Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE[J]. APPLIED MATHEMATICS AND COMPUTATION,2009,211(2):347-353.
APA	Mei, Jianqin,&Zhang, Hongqing.(2009).Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE.APPLIED MATHEMATICS AND COMPUTATION,211(2),347-353.
MLA	Mei, Jianqin,et al."Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE".APPLIED MATHEMATICS AND COMPUTATION 211.2(2009):347-353.