On geometric approach to Lie symmetries of differential-difference equations

doi:10.1016/j.physleta.2008.07.040

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	On geometric approach to Lie symmetries of differential-difference equations
	Li, Hong-Jing 1; Wang, Deng-Shan 2,3; Wang, Shi-Kun 4; Wu, Ke 1; Zhao, Wei-Zhong 1,5
	2008-09-08
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	372 期号:37 页码:5878-5882
摘要	Based upon Cartan's geometric formulation of differential equations, Harrison and Estabrook proposed a geometric approach for the symmetries of differential equations. In this Letter, we extend Harrison and Estabrook's approach to analyze the symmetries of differential-difference equations. The discrete exterior differential technique is applied in our approach. The Lie symmetry of (2 + 1)-dimensional Toda equation is investigated by means of our approach. (C) 2008 Elsevier B.V. All rights reserved.
关键词	discrete exterior differential calculus Lie symmetries differential-difference equations
DOI	10.1016/j.physleta.2008.07.040
语种	英语
资助项目	NKBRPC[2004CB318000] ; NKBRPC[2006CB805905] ; Beijing Jiao-Wei Key project[KZ200810028013]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000259583300004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6281
专题	中国科学院数学与系统科学研究院
通讯作者	Zhao, Wei-Zhong
作者单位	1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mech, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Grad Univ, Beijing 100049, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 5.Capital Normal Univ, Inst Math & Interdisciplinary Sci, Beijing 100037, Peoples R China
推荐引用方式 GB/T 7714	Li, Hong-Jing,Wang, Deng-Shan,Wang, Shi-Kun,et al. On geometric approach to Lie symmetries of differential-difference equations[J]. PHYSICS LETTERS A,2008,372(37):5878-5882.
APA	Li, Hong-Jing,Wang, Deng-Shan,Wang, Shi-Kun,Wu, Ke,&Zhao, Wei-Zhong.(2008).On geometric approach to Lie symmetries of differential-difference equations.PHYSICS LETTERS A,372(37),5878-5882.
MLA	Li, Hong-Jing,et al."On geometric approach to Lie symmetries of differential-difference equations".PHYSICS LETTERS A 372.37(2008):5878-5882.