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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.
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关键词:
- 一阶Lagrange系统 /
- Lie对称性 /
- 守恒量
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
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