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A generalized Mei conserved quantity and Mei symmetry of Birkhoff system
Authors:Wang Peng  Fang Jian-Hui and Wang Xian-Ming
Affiliation:School of Maths-Physics and Information Science, Xinjiang Normal University, Urumqi 830054, China; College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
Abstract:This paper studies a new conserved quantity which can be called generalized Mei conserved quantity and directly deduced by Mei symmetry of Birkhoff system. The conditions under which the Mei symmetry can directly lead to generalized Mei conserved quantity and the form of generalized Mei conserved quantity are given. An example is given to illustrate the application of the results.
Keywords:Birkhoff system  Mei symmetry  conserved quantity
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