| 奇异 Chetaev型非完整系统Nielsen方程的Lie-Mei对称性与守恒量 |
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| 引用本文： | 徐超,李元成.奇异 Chetaev型非完整系统Nielsen方程的Lie-Mei对称性与守恒量[J].物理学报,2013,62(12):120201-120201. |
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| 作者姓名： | 徐超 李元成 |
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| 作者单位： | 中国石油大学(华东)理学院, 青岛 266580 |
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| 基金项目： | 中国石油大学(华东)自主创新基金( |
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| 摘 要： | 研究奇异Chetaev型非完整系统Nielsen方程的Lie-Mei对称性, 建立系统Nielsen方程的Lie-Mei对称性方程, 给出系统Nielsen方程强Lie-Mei对称性和弱Lie-Mei对称性的定义, 得到对称性导致的Hojman守恒量和Mei守恒量, 最后给出说明性算例.
关键词：
奇异非完整系统
Nielsen方程
Lie-Mei对称性
守恒量
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| 关 键 词： | 奇异非完整系统 Nielsen方程 Lie-Mei对称性 守恒量 |
| 收稿时间： | 2013-01-15 |
Lie-Mei symmetry and conserved quantities of Nielsen equations for a singular nonholonomic system of Chetaev'type |
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| Xu Chao Li
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Yuan-Cheng.Lie-Mei symmetry and conserved quantities of Nielsen equations for a singular nonholonomic system of Chetaev'type[J].Acta Physica Sinica,2013,62(12):120201-120201. |
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| Authors: | Xu Chao Li Yuan-Cheng |
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| Abstract: | Using an invariance of differential equations under the infinitesimal transformations of group, we study the Lie-Mei symmetry of Nielsen equations for a singular nonholonomic system of Chetaev'type. We establish the Lie-Mei symmetry equations. The definitions of weak and strong Lie-Mei symmetry are given, and Hojman conserved quantities and Mei conserved quantities are obtained. An example is given to illustrate the application of the results.
Keywords：
singular nonholonomic system
Nielsen equation
Lie-Mei symmetry
conserved quantities |
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| Keywords: | singular nonholonomic system Nielsen equation Lie-Mei symmetry conserved quantities |
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