中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1399-1402.doi: 10.1088/1009-1963/15/7/001

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Mei symmetry of Tzénoff equations of holonomic system

贾利群1, 余宏生2, 郑世旺3   

  1. (1)College of Science, Southern Yangtze University, Wuxi 214122, China; (2)Department of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435000, China; (3)Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China
  • 收稿日期:2005-11-06 修回日期:2005-12-14 出版日期:2006-07-20 发布日期:2006-07-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10372053) and theNatural Science Foundation of Henan Province, China (Grant No 0311011400).

Mei symmetry of Tzénoff equations of holonomic system

Zheng Shi-Wang (郑世旺)a, Jia Li-Qun (贾利群)b, Yu Hong-Sheng (余宏生)c    

  1. a Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China; b College of Science, Southern Yangtze University, Wuxi 214122, China; c Department of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435000, China
  • Received:2005-11-06 Revised:2005-12-14 Online:2006-07-20 Published:2006-07-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10372053) and theNatural Science Foundation of Henan Province, China (Grant No 0311011400).

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摘要： The Mei symmetry of Tzénoff equations under the infinitesimal transformations of groups is studied in this paper. The definition and the criterion equations of the symmetry are given. If the symmetry is a Noether symmetry, then the Noether conserved quantity of the Tzénoff equations can be obtained by the Mei symmetry.

关键词: Tzenoff equations, Mei symmetry, Noether symmetry, conserved quantity

Abstract: The Mei symmetry of Tzénoff equations under the infinitesimal transformations of groups is studied in this paper. The definition and the criterion equations of the symmetry are given. If the symmetry is a Noether symmetry, then the Noether conserved quantity of the Tzénoff equations can be obtained by the Mei symmetry.

Key words: Tzénoff equations, Mei symmetry, Noether symmetry, conserved quantity

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

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