Open AccessGeneralized Pfaff-Birkhoff-d’Alembert principle and form invariance of generalized Birkhoff’s equations
Author(s) -
Chuandong Wang,
Shixing Liu,
Mei Feng-Xiang
Publication year - 2010
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.59.8322
Subject(s) - noether's theorem , infinitesimal , conserved quantity , mathematical physics , transformation (genetics) , mathematics , invariance principle , infinitesimal transformation , infinity , mathematical analysis , lagrangian , philosophy , biochemistry , chemistry , linguistics , gene
The generalized Pfaff-Birkhoff-dAlembert principle and the form invariance of the generalized Birkhoff s equations under the infinitesimal transformation of group are studied. The criterion of the form invariance is given and the Noether conserved quantity and a new conserved quantity are obtained by the invariance.