| Lie symmetry and conserved quantity of a system of first-order differential equations |
| |
| 作者姓名： | 许学军 梅凤翔 张永发 |
| |
| 作者单位： | Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Physics, Zhejiang Normal University, Jinhua 321004, China;Department of Applied Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Applied Mechanics, Beijing Institute of Technology,Beijing 100081, China |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No 20040007022). |
| |
| 摘 要： |
|
| 关 键 词： | 保存量 微分方程 机械系统 决定方程 数学分析 |
| 收稿时间： | 2005-04-22 |
| 修稿时间： | 2005-04-22 |
Lie symmetry and conserved quantity of a system of first-order differential equations |
| |
| Xu Xue-Jun,Mei Feng-Xiang and Zhang Yong-Fa.Lie symmetry and conserved quantity of a system of first-order differential equations[J].Chinese Physics B,2006,15(1):19-21. |
| |
| Authors: | Xu Xue-Jun Mei Feng-Xiang and Zhang Yong-Fa |
| |
| Institution: | Department of Applied Mechanics, Beijing Institute of Technology,Beijing 100081, China; Department of Mechanics, Beijing Institute of Technology,Beijing 100081, China;Department of Physics, Zhejiang Normal University, Jinhua 321004, China |
| |
| Abstract: | This paper focuses on studying the Lie symmetry and a conserved quantity of
a system of first-order differential equations. The determining equations of
the Lie symmetry for a system of first-order differential equations, from
which a kind of conserved quantity is deduced, are presented. And their
general conclusion is applied to a Hamilton system, a Birkhoff system and a
generalized Hamilton system. Two examples are given to illustrate
the application of the results. |
| |
| Keywords: | Lie symmetry conserved quantity differential equation mechanical 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 |
|
