Open AccessLIE SYMMETRIES AND CONSERVED QUANTITIES OF FIRST ORDER LAGRANGE SYSTEMS
Author(s) -
Mei Feng-Xiang,
Shang Mei
Publication year - 2000
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.49.1901
Subject(s) - infinitesimal , homogeneous space , ordinary differential equation , conserved quantity , symmetry (geometry) , order (exchange) , differential equation , mathematical physics , first order , differential (mechanical device) , physics , mathematics , mathematical analysis , geometry , finance , economics , thermodynamics
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.