On geometric approach to Lie symmetries of differential-difference equations
文献类型:期刊论文
作者 | Li, Hong-Jing1; Wang, Deng-Shan2,3; Wang, Shi-Kun4; Wu, Ke1; Zhao, Wei-Zhong1,5 |
刊名 | PHYSICS LETTERS A |
出版日期 | 2008-09-08 |
卷号 | 372期号:37页码:5878-5882 |
ISSN号 | 0375-9601 |
关键词 | discrete exterior differential calculus Lie symmetries differential-difference equations |
DOI | 10.1016/j.physleta.2008.07.040 |
英文摘要 | 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. |
资助项目 | NKBRPC[2004CB318000] ; NKBRPC[2006CB805905] ; Beijing Jiao-Wei Key project[KZ200810028013] |
WOS研究方向 | Physics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE BV |
WOS记录号 | WOS:000259583300004 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6280] |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。