| 非完整系统Tzénoff方程的Mei对称性和守恒量 |
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| 引用本文： | 郑世旺,贾利群.非完整系统Tzénoff方程的Mei对称性和守恒量[J].物理学报,2007,56(2):661-665. |
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| 作者姓名： | 郑世旺 贾利群 |
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| 作者单位： | 1. 商丘师范学院物理与信息工程系,商丘,476000
2. 江南大学理学院,无锡,214122 |
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| 摘 要： | 研究了在群的无限小变换下非完整系统Tzénoff方程的Mei对称性，给出了非完整系统Tzénoff方程Mei对称性的定义和判据方程.给出了这种Mei对称性导致Lie对称性的充要条件，通过特殊Mei对称性条件下的Lie对称性，找到了非完整系统Tzénoff方程的Hojman守恒量.
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| 关 键 词： | 非完整系统 Tzénoff方程 Mei对称性 守恒量 |
| 收稿时间： | 2006-05-19 |
Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems |
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| Zheng Shi-Wang,Jia Li-Qun.Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems[J].Acta Physica Sinica,2007,56(2):661-665. |
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| Authors: | Zheng Shi-Wang Jia Li-Qun |
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| Abstract: | The Mei symmetry of Tzénoff equations for nonholonomic systems under the infinitesimal transformation of groups is studied in this paper. The definition and the criterion equations of the symmetry are given. If the symmetry is a Lie symmetry, then the Hojman conserved quantity of the Tzénoff equation can be obtained by the Mei symmetry. |
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| Keywords: | nonholonomic system Tzénoff equations Mei symmetry conserved quantity |
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