Abstract In this paper we study the Lie symmetries of Birkhoff systems with unilateral constraints. We give the conditions for, and the form of, conserved quantities due to the Lie symmetries of the systems, and we also study the inverse problem of the Lie symmetries of the systems. Finally, an example is given to illustrate the application of the results.
Received: 19 September 2001
Revised: 19 April 2002
Accepted manuscript online:
Fund: Project supported by the Education Foundation of Anhui Province, China (Grant No 2002KJ230).
Cite this article:
Zhang Hong-Bin (张宏彬), Gu Shu-Long (顾书龙) Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints 2002 Chinese Physics 11 765
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