Lie symmetries and conserved quantities of first order Lagrange systems

被引：49

作者：

Mei, FX ^{[1
]}

Shang, M ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

来源：

ACTA PHYSICA SINICA | 2000年 / 49卷 / 10期

关键词：

first order Lagrange system; Lie symmetry; conserved quantity;

D O I：

10.7498/aps.49.1901

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, a system of first order ordinary differential equations is expressed in the form df first order Lagrange equations. The determining equations of Lie symmetries are established by the invariance of the ordinary differential equations under the infinitesimal transformations. The condition under which a Lie symmetry can lead to a conserved quantity is obtained and the form of the conserved quantities is given.

引用

页码：1901 / 1903

页数：3