Noether conserved quantities and Lie point symmetries of difference Lagrange-Maxwell equations and lattices
文献类型：期刊论文
| 作者 | Fu Jing-Li1; Nie Ning-Ming2; Huang Jian-Fei3; Salvador, Jimenez4; Tang Yi-Fa2,5 ; Luis, Vazquez6; Zhao Wei-Jia3
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| 刊名 | CHINESE PHYSICS B
 |
| 出版日期 | 2009-07-01 |
| 卷号 | 18期号:7页码:2634-2641 |
| 关键词 | Lagrange-Maxwell equation Lie point symmetry discrete mechanico-electrical system conserved quantity |
| ISSN号 | 1674-1056 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000267821200003 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8656]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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