| 一阶Lagrange系统的Lie对称性与守恒量 |
| |
| 引用本文： | 梅凤翔,尚玫. 一阶Lagrange系统的Lie对称性与守恒量[J]. 物理学报, 2000, 49(10): 1901-1903 |
| |
| 作者姓名： | 梅凤翔 尚玫 |
| |
| 作者单位： | 北京理工大学应用力学系，北京 100081 |
| |
| 基金项目： | 国家自然科学基金(批准号：19972010)和高校博士点专项基金资助的课题. |
| |
| 摘 要： | 将一阶微分方程组化成一阶Lagrange方程.利用常微分方程在无限小变换下的不变性，建立L ie对称性的确定方程.给出Lie对称性导致守恒量的条件以及守恒量的形式.关键词：一阶Lagrange系统Lie对称性守恒量
|
| 关 键 词： | 一阶Lagrange系统 Lie对称性 守恒量 |
| 收稿时间： | 2000-03-01 |
LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS |
| |
| MEI FENG-XIANG,SHANG MEI. LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS[J]. Acta Physica Sinica, 2000, 49(10): 1901-1903 |
| |
| Authors: | MEI FENG-XIANG SHANG MEI |
| |
| Abstract: | In this paper, a system of first order ordinary differential equations is expressed in the form of first order Lagrange equations.The determining equations of L ie symmetries are established by the invariance of the ordinary differential equ ations under the infinitesimal transformations. The condition under which a Lie symmetry can lead to a conserved quantity is obtained and the form of the conser ved quantities is given. |
| |
| Keywords: | First order Lagrange system Lie symmetry conserved quantity |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
|
点击此处可从《物理学报》下载免费的PDF全文 |
