中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1312-1315.doi: 10.1088/1674-1056/18/4/003

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A generalized Mei conserved quantity and Mei symmetry of Birkhoff system

方建会1, 王鹏2, 王先明2   

  1. (1)College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; (2)School of Maths-Physics and Information Science, Xinjiang Normal University, Urumqi 830054, China
  • 收稿日期:2008-06-22 修回日期:2008-07-03 出版日期:2009-04-20 发布日期:2009-04-20
  • 基金资助:
    Project supported by the Scientific Research Fund for Outstanding Young Teachers (Grant No XJNU0817) and Fund for Prior Development Subject of Xinjiang Normal University and National Natural Science Foundation of China (Grant No 10864007).

A generalized Mei conserved quantity and Mei symmetry of Birkhoff system

Wang Peng(王鹏)a), Fang Jian-Hui(方建会)b), and Wang Xian-Ming(王先明)a)†   

  1. a School of Maths-Physics and Information Science, Xinjiang Normal University, Urumqi 830054, China; b College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2008-06-22 Revised:2008-07-03 Online:2009-04-20 Published:2009-04-20
  • Supported by:
    Project supported by the Scientific Research Fund for Outstanding Young Teachers (Grant No XJNU0817) and Fund for Prior Development Subject of Xinjiang Normal University and National Natural Science Foundation of China (Grant No 10864007).

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摘要： 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.

关键词: Birkhoff system, Mei symmetry, conserved quantity

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.

Key words: Birkhoff system, Mei symmetry, conserved quantity

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x
02.30.Jr (Partial differential equations)