| Nambu力学系统的Lie对称性及其守恒量 |
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| 引用本文： | 张凯,王策,周利斌.Nambu力学系统的Lie对称性及其守恒量[J].物理学报,2008,57(11):6718-6721. |
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| 作者姓名： | 张凯 王策 周利斌 |
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| 作者单位： | (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 |
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| 摘 要： | 讨论了Nambu力学系统的Lie对称性；建立了系统Lie对称性的确定方程；得到了该对称性引起的守恒量；研究了Lie对称性逆问题. 并以Euler方程为例说明了本文的主要结果.
关键词：
Nambu力学系统
Lie对称性
守恒量
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| 关 键 词： | Nambu力学系统 Lie对称性 守恒量 |
| 收稿时间： | 2007-09-24 |
Lie symmetry and conserved quantities of Nambu mechanical systems |
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| Zhang Kai,Wang Ce,Zhou Li-Bin.Lie symmetry and conserved quantities of Nambu mechanical systems[J].Acta Physica Sinica,2008,57(11):6718-6721. |
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| Authors: | Zhang Kai Wang Ce Zhou Li-Bin |
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| 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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| Keywords: | Nambu mechanical systems Lie symmetry conserved quantities |
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