| 有限自由度系统的定域Lie对称性和守恒量 |
| |
| 引用本文： | 傅景礼,陈立群,白景华.有限自由度系统的定域Lie对称性和守恒量[J].中国物理 B,2005,14(1):6-11. |
| |
| 作者姓名： | 傅景礼 陈立群 白景华 |
| |
| 作者单位： | School of Natural Scence, Zhejiang University of Science,Hangzhou,310018, China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University, Shanghai,200072, China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University, Shanghai,200072, China;Department of Mathematics, Kaifeng University, Kaifeng,475000, China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10372053) and the
Natural Science Foundation of Henan Province Government, China (Grant No 0311011400) |
| |
| 摘 要： | 研究有限自由度系统定域Lie对称性的正问题和逆问题。给出了定域Lie对称性的定义、确定方程、结构方程和守恒量。进一步从定域Lie对称性导出在有限连续群无限小变换下的Lie对称性。最后给出一个例子去说明这些结果。
|
| 关 键 词： | 定域Lie对称性，无限连续群，守恒律，有限自由度系统 |
| 收稿时间： | 2003-10-31 |
| 修稿时间： | 9/8/2004 12:00:00 AM |
Localized Lie symmetries and conserved quantities for the finite-degree-of-freedom systems |
| |
| Fu Jing-Li,Chen Li-Qun and Bai Jing-Hua.Localized Lie symmetries and conserved quantities for the finite-degree-of-freedom systems[J].Chinese Physics B,2005,14(1):6-11. |
| |
| Authors: | Fu Jing-Li Chen Li-Qun and Bai Jing-Hua |
| |
| Institution: | Department of Mathematics, Kaifeng University, Kaifeng,475000, China; School of Natural Scence, Zhejiang University of Science,Hangzhou,310018, China;Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University, Shanghai,200072, China; Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University, Shanghai,200072, China |
| |
| Abstract: | This paper focuses on the study of localized Lie symmetries under the infinitesimal transformation of an infinite continuous group for the finite-degree-of-freedom systems. Based on an invariance of differential equation under an infinitesimal transformation, we present the localized Lie symmetries including direct and inverse problems for the finite degree-of-freedom mechanical systems. We also give the definitions,determining equations, structural equation and conserved laws of localized Lie symmetries, and further, the Lie symmetries under the infinitesimal transformation of a finite continuous group derived from localized Lie symmetry. Finally, an example is discussed to illustrate these results. |
| |
| Keywords: | localization Lie symmetry infinite continuous group conservation law finite-degree-of freedom system |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
|
