Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system

doi:10.1088/1674-1056/19/3/030304

Abstract Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system are investigated. Appell equations and differential equations of motion for a variable mass holonomic system are established. A new expression of the total first derivative of the function with respect of time t along the systematic motional track curve, and the definition and the criterion of Mei symmetry for Appell equations under the infinitesimal transformations of groups are given. The expressions of the structural equation and Mei conserved quantity for Mei symmetry in Appell are obtained. An example is given to illustrate the application of the results.

Keywords: variable mass holonomic system Appell equation Mei symmetry Mei conserved quantity

Received: 31 May 2009
Revised: 31 July 2009
Accepted manuscript online:

PACS:	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	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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Cui Jin-Chao(崔金超), Zhang Yao-Yu(张耀宇), Yang Xin-Fang(杨新芳), and Jia Li-Qun(贾利群) Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system 2010 Chin. Phys. B 19 030304

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Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system

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