中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4361-4364.doi: 10.1088/1674-1056/17/12/004

• GENERAL • 上一篇    下一篇

Lie symmetry and Hojman conserved quantity of Nambu system

蔺鹏, 方建会, 庞婷   

  1. College of Physics and Technology, China University of Petroleum, Dongying 257061, China
  • 收稿日期:2008-03-06 修回日期:2008-04-26 出版日期:2008-12-20 发布日期:2008-12-20

Lie symmetry and Hojman conserved quantity of Nambu system

Lin Peng (蔺鹏), Fang Jian-Hui (方建会), Pang Ting (庞婷)   

  1. College of Physics and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2008-03-06 Revised:2008-04-26 Online:2008-12-20 Published:2008-12-20

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摘要： This paper studies the Lie symmetry and Hojman conserved quantity of Nambu system. The determining equations of Lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the Lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.

Abstract: This paper studies the Lie symmetry and Hojman conserved quantity of Nambu system. The determining equations of Lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the Lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.

Key words: Nambu system, Lie symmetry, Hojman conserved quantity

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

  • 45.05.+x
02.20.Qs (General properties, structure, and representation of Lie groups)