LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS

MEI FENG-XIANG; SHANG MEI

doi:10.7498/aps.49.1901

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
Authors and contacts
MEI FENG-XIANG,

SHANG MEI

1.
北京理工大学应用力学系，北京 100081
References

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Vol. 49, Issue 10 - 2000-05-20

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LIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS

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