Lie symmetry and conserved quantities of Nambu mechanical systems

Zhang Kai; Wang Ce; Zhou Li-Bin

doi:10.7498/aps.57.6718

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.

Keywords:
Nambu mechanical systems /

Lie symmetry /

conserved quantities
Authors and contacts
Zhang Kai¹,

Wang Ce²,

Zhou Li-Bin²

(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
References

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Vol. 57, Issue 11 - 2008-06-05

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