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Lie symmetry and conserved quantities of Nambu mechanical systems

Zhang Kai Wang Ce Zhou Li-Bin

Lie symmetry and conserved quantities of Nambu mechanical systems

Zhang Kai, Wang Ce, Zhou Li-Bin
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  • Abstract views:  2952
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Publishing process
  • Received Date:  24 September 2007
  • Accepted Date:  10 March 2008
  • Published Online:  20 November 2008

Lie symmetry and conserved quantities of Nambu mechanical systems

  • 1. (1)西安工业大学数理系,西安 710032;西北大学现代物理研究所,西安 710069; (2)西北大学物理系,西安 710069

Abstract: In this article,Lie symmetry of Nambu mechanical systems is discussed and its determining equations are established. Consequently,the structure equation and the associated conserved quantities are obtained. The inverse problem of Lie symmetries of the systems is also studied. As an example,Euler equations are used to illustrate the application of the main results.

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