| Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev’s type with variable mass |
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| 引用本文： | 杨新芳,贾利群,崔金超,罗绍凯.Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev’s type with variable mass[J].中国物理 B,2010,19(3):30305-030305. |
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| 作者姓名： | 杨新芳 贾利群 崔金超 罗绍凯 |
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| 作者单位： | (1)Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; (2)School of Science, Jiangnan University, Wuxi 214122, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No. 10572021) and the
Preparatory Research Foundation of Jiangnan University, China (Grant
No. 2008LYY011). |
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| 摘 要： | Mei symmetry and Mei conserved quantity of Nielsen
equations for a non-holonomic, non-conservative system of Chetaev's
type with variable mass are studied. The differential equations of
motion of the Nielsen equation for the system, the definition and
criterion of Mei symmetry, and the condition and the form of Mei
conserved quantity deduced directly by Mei symmetry for the system
are obtained. An example is given to illustrate the application of
the results.
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| 关 键 词： | variable mass Nielsen equation Mei symmetry Mei conserved quantity |
| 收稿时间： | 2009-07-12 |
Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass |
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| Yang Xin-Fang,Jia Li-Qun,Cui Jin-Chao and Luo Shao-Kai.Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass[J].Chinese Physics B,2010,19(3):30305-030305. |
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| Authors: | Yang Xin-Fang Jia Li-Qun Cui Jin-Chao and Luo Shao-Kai |
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| Institution: | School of Science, Jiangnan University, Wuxi 214122, China; Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China |
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| Abstract: | Mei symmetry and Mei conserved quantity of Nielsen
equations for a non-holonomic, non-conservative system of Chetaev's
type with variable mass are studied. The differential equations of
motion of the Nielsen equation for the system, the definition and
criterion of Mei symmetry, and the condition and the form of Mei
conserved quantity deduced directly by Mei symmetry for the system
are obtained. An example is given to illustrate the application of
the results. |
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| Keywords: | variable mass Nielsen equation Mei symmetry Mei
conserved
quantity |
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