Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation

doi:10.1155/2012/908975

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	Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation
	Yang, Hongwei 1,2,3,4; Shi, Yunlong2 ; Yin, Baoshu 1,4; Dong, Huanhe 2; Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
	2012
发表期刊	DISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN	1026-0226
页码	908975
文章类型	Article
摘要	We discuss the Lie point symmetries and discrete symmetries of the inviscid Burgers equation. By employing the Lie group method of infinitesimal transformations, symmetry reductions and similarity solutions of the governing equation are given. Based on discrete symmetries analysis, two groups of discrete symmetries are obtained, which lead to new exact solutions of the inviscid Burgers equation.
关键词	Differential-equations Lie Symmetries Algebras
学科领域	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
DOI	10.1155/2012/908975
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000309758400001
引用统计	被引频次：5[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/12137
专题	海洋环流与波动重点实验室
通讯作者	Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China
第一作者单位	中国科学院海洋研究所; 海洋环流与波动重点实验室
推荐引用方式 GB/T 7714	Yang, Hongwei,Shi, Yunlong,Yin, Baoshu,et al. Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY,2012:908975.
APA	Yang, Hongwei,Shi, Yunlong,Yin, Baoshu,Dong, Huanhe,&Yin, BS .(2012).Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation.DISCRETE DYNAMICS IN NATURE AND SOCIETY,908975.
MLA	Yang, Hongwei,et al."Discrete Symmetries Analysis and Exact Solutions of the Inviscid Burgers Equation".DISCRETE DYNAMICS IN NATURE AND SOCIETY (2012):908975.

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