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 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.
| Original language | English |
|---|---|
| Pages (from-to) | 1903 |
| Number of pages | 1 |
| Journal | Wuli Xuebao/Acta Physica Sinica |
| Volume | 49 |
| Issue number | 10 |
| Publication status | Published - Oct 2000 |
Keywords
- Conserved quantity
- First order Lagrange system
- Lie symmetry