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

doi:10.1016/j.amc.2009.01.059

	Symmetry reductions and explicit solutions of a (3+1)-dimensional PDE
	Mei, Jianqin 1,2; Zhang, Hongqing 1
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2009-05-15
卷号	211 期号:2 页码:347-353
关键词	Symmetry reduction Lie algebra Jimbo-Miwa equation Soliton solution
ISSN号	0096-3003
DOI	10.1016/j.amc.2009.01.059
英文摘要	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.
资助项目	National Key Basic Research Project of China[2004CB3180 00]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000265783700009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/9219]
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.