Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic system
Cui Jin-Chao(崔金超)a), Zhang Yao-Yu(张耀宇)b) , and Jia Li-Qun(贾利群)a)†
aSchool of Science, Jiangnan University, Wuxi 214122, China; bElectric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China
Abstract The Mei symmetry and Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic non-conservative system are studied. The differential equations of motion of the Nielsen equation for the system, the definition and the criterion of Mei symmetry and the condition and the form of Mei conserved quantities deduced directly from the Mei symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.
Received: 11 May 2008
Revised: 21 October 2008
Accepted manuscript online:
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:
Cui Jin-Chao(崔金超), Zhang Yao-Yu(张耀宇) , and Jia Li-Qun(贾利群) Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic system 2009 Chin. Phys. B 18 1731
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