Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system |
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Authors: | Cui Jin-Chao Zhang Yao-Yu Yang Xin-Fang and Jia Li-Qun |
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Affiliation: | School of Science, Jiangnan University, Wuxi 214122, China; Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China |
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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. |
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Keywords: | variable mass holonomic system Appell equation Mei
symmetry Mei conserved quantity |
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