Effects of constraints on Lie symmetries and conserved quantities of a Birkhoff system

Authors
Zhang, RC Chen, XW Mei, FX
Citation
Rc. Zhang et al., Effects of constraints on Lie symmetries and conserved quantities of a Birkhoff system, CHIN PHYS, 10(1), 2001, pp. 12-16
Citations number
14
Categorie Soggetti
Physics
Journal title
CHINESE PHYSICS
ISSN journal
10091963 → ACNP
Volume
10
Issue
1
Year of publication
2001
Pages
12 - 16
Database
ISI
SICI code
1009-1963(200101)10:1<12:EOCOLS>2.0.ZU;2-C
Abstract
After a Birkhoff system is restricted by constraints, the determining equat ions, the Lie symmetries, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some Lie symmet ries will disappear and under certain conditions some Lie symmetries will s till remain present. The condition under which Lie symmetries and conserved quantities of the system will remain is given.