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noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices
Fu JingLi1; Nie NingMing2; Huang JianFei3; Jimnez Salvador4; Tang YiFa2; Vzquez Luis5; Zhao WeiJia3
2009
Source Publicationchinesephysicsb
ISSN1674-1056
Volume18Issue:7Pages:2634
AbstractThis 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.
Language英语
Funding Project[National Natural Science Foundation of China] ; [State Key laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences] ; [Spanish Ministry of Education and Science]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/43286
Collection计算数学与科学工程计算研究所
Affiliation1.浙江理工大学
2.中国科学院数学与系统科学研究院
3.青岛大学
4.西班牙马德里理工大学
5.西班牙马德里孔普卢顿大学
Recommended Citation
GB/T 7714
Fu JingLi,Nie NingMing,Huang JianFei,et al. noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices[J]. chinesephysicsb,2009,18(7):2634.
APA Fu JingLi.,Nie NingMing.,Huang JianFei.,Jimnez Salvador.,Tang YiFa.,...&Zhao WeiJia.(2009).noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices.chinesephysicsb,18(7),2634.
MLA Fu JingLi,et al."noetherconservedquantitiesandliepointsymmetriesofdifferencelagrangemaxwellequationsandlattices".chinesephysicsb 18.7(2009):2634.
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