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Chin. Phys. B, 2010, Vol. 19(3): 030305    DOI: 10.1088/1674-1056/19/3/030305
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Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

Yang Xin-Fang(杨新芳)a), Jia Li-Qun(贾利群)a), Cui Jin-Chao(崔金超)a), and Luo Shao-Kai(罗绍凯) b)
a School of Science, Jiangnan University, Wuxi 214122, China; b Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
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.
Keywords:  variable mass      Nielsen equation      Mei symmetry      Mei conserved quantity  
Received:  12 July 2009      Revised:  25 August 2009      Accepted manuscript online: 
PACS:  45.20.da (Forces and torques)  
  02.30.Jr (Partial differential equations)  
Fund: 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).

Cite this article: 

Yang Xin-Fang(杨新芳), Jia Li-Qun(贾利群), Cui Jin-Chao(崔金超), and Luo Shao-Kai(罗绍凯) Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass 2010 Chin. Phys. B 19 030305

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