Open AccessLie symmetry and non-Noether conserved quantities of variable mass Birkhoffian system
Author(s) -
Zhang Peng-Yu,
Jianhui Fang
Publication year - 2006
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.55.3813
Subject(s) - noether's theorem , symmetry (geometry) , conserved quantity , physics , mathematical physics , variable (mathematics) , classical mechanics , symmetry group , lagrangian , mathematics , mathematical analysis , geometry
In this paper, the Lie symmetrical non-Noether conserved quantity of variable mass Birkhoffian system under the infinitesimal transformations is studied. First, variable mass Birkhoffian equations are established; second, Lie symmetry determining equations are given. Then the non-Noether conserved quantity is obtained. An example is given to illustrate the application of the result.