Mei symmetry and Mei conserved quantity of Nielsen equations for a non-holonomic system of Chetaev's type with variable mass

doi:10.1088/1674-1056/19/3/030305

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).

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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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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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