EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM
Zhang Rui-chao (张睿超)a, Chen Xiang-wei (陈向炜)b, Mei Feng-xiang (梅凤翔)a
a Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; b Department of Physics, Shangqiu Teachers College, Shangqiu 476000, China
Abstract After a Birkhoff system is restricted by constraints, the determining equations, the Lie symmetries, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some Lie symmetries will disappear and under certain conditions some Lie symmetries will still remain present. The condition under which Lie symmetries and conserved quantities of the system will remain is given.
Received: 30 June 2000
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19972010) and the Doctoral Program Foun-dation of Institution of Higher Education of China.
Cite this article:
Zhang Rui-chao (张睿超), Chen Xiang-wei (陈向炜), Mei Feng-xiang (梅凤翔) EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM 2001 Chinese Physics 10 12
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