Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices

	Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices
	Fu Jing-Li 1; Nie Ning-Ming 2; Huang Jian-Fei 3; Salvador, Jimenez 4; Tang Yi-Fa2,5 ; Luis, Vazquez 6; Zhao Wei-Jia 3
	2009-07-01
发表期刊	CHINESE PHYSICS B
ISSN	1674-1056
卷号	18 期号:7 页码:2634-2641
摘要	This paper presents a method to find Noether-type conserved quantities and Lie point symmetries for discrete mechanico-electrical dynamical systems, which leave invariant the set of solutions of the corresponding difference scheme. This approach makes it possible to devise techniques for solving the Lagrange-Maxwell equations in differences which correspond to mehanico-electrical systems, by adapting existing differential equations. In particular, it obtains a new systematic method to determine both the one-parameter Lie groups and the discrete Noether conserved quantities of Lie point symmetries for mechanico-electrical systems. As an application, it obtains the Lie point symmetries and the conserved quantities for the difference equation of a model that represents a capacitor microphone.
关键词	Lagrange-Maxwell equation Lie point symmetry discrete mechanico-electrical system conserved quantity
语种	英语
资助项目	National Natural Science Foundation of China[1067243] ; National Natural Science Foundation of China[60575055] ; State Key laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences ; Spanish Ministry of Education and Science[SAB2006-0070] ; Spanish Ministry of Education and Science[MTM2005-05573]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000267821200003
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8657
专题	计算数学与科学工程计算研究所
通讯作者	Fu Jing-Li
作者单位	1.Zhejiang Sci Tech Univ, Inst Math Phys, Hangzhou 310018, Zhejiang, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China 3.Qingdao Univ, Dept Math, Qingdao 266071, Peoples R China 4.Univ Politecn Madrid, ETSI Telecomunicac, Dept Matemat Aplicada TTII, E-28040 Madrid, Spain 5.Univ Complutense Madrid, IMI, Fac Matemat, Dept Matemat Aplicada, E-28040 Madrid, Spain 6.Univ Complutense Madrid, IMI, Fac Informat, Dept Matemat Aplicada, E-28040 Madrid, Spain
推荐引用方式 GB/T 7714	Fu Jing-Li,Nie Ning-Ming,Huang Jian-Fei,et al. Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices[J]. CHINESE PHYSICS B,2009,18(7):2634-2641.
APA	Fu Jing-Li.,Nie Ning-Ming.,Huang Jian-Fei.,Salvador, Jimenez.,Tang Yi-Fa.,...&Zhao Wei-Jia.(2009).Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices.CHINESE PHYSICS B,18(7),2634-2641.
MLA	Fu Jing-Li,et al."Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices".CHINESE PHYSICS B 18.7(2009):2634-2641.