中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1731-1736.doi: 10.1088/1674-1056/18/5/003

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Mei conserved quantity of Nielsen equation for anon-Chetaev-type non-holonomic system

张耀宇1, 崔金超2, 贾利群2   

  1. (1)Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China; (2)School of Science, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2008-05-11 修回日期:2008-10-21 出版日期:2009-05-20 发布日期:2009-05-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021) and the Preparatory Research Foundation of Jiangnan University, China (Grant No 2008LYY011).

Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic system

Cui Jin-Chao(崔金超)a), Zhang Yao-Yu(张耀宇)b) , and Jia Li-Qun(贾利群)a)†   

  1. a School of Science, Jiangnan University, Wuxi 214122, China; b Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China
  • Received:2008-05-11 Revised:2008-10-21 Online:2009-05-20 Published:2009-05-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021) and the Preparatory Research Foundation of Jiangnan University, China (Grant No 2008LYY011).

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摘要： The Mei symmetry and Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic non-conservative system are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Mei symmetry and the condition and the form of Mei conserved quantities deduced directly from the Mei symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.

关键词: non-Chetaev-type non-holonomic system, Nielsen equation, Mei symmetry, Mei conserved quantity

Abstract: The Mei symmetry and Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic non-conservative system are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Mei symmetry and the condition and the form of Mei conserved quantities deduced directly from the Mei symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.

Key words: non-Chetaev-type non-holonomic system, Nielsen equation, Mei symmetry, Mei conserved quantity

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj
02.20.Qs (General properties, structure, and representation of Lie groups) 02.30.Jr (Partial differential equations)