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
Published: 20 May 2009
(Lagrangian and Hamiltonian mechanics)
(General properties, structure, and representation of Lie groups)
(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:
Cui Jin-Chao, Zhang Yao-Yu, Jia Li-Qun Mei conserved quantity of Nielsen equation for anon-Chetaev-type non-holonomic system 2009 Chin. Phys. B 18 01731