Structure equation and Mei conserved quantity for Mei symmetry of Appell equation
Jia Li-Qun(贾利群)a)†, Xie Jia-Fang(解加芳)b), and Zheng Shi-Wang(郑世旺)c)
aSchool of Science, Jiangnan University, Wuxi 214122, China; bDepartment of Mechanics, Beijing Institute of Technology, Beijing 100081, China; cDepartment of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China
Abstract This paper investigates structure equation and Mei conserved quantity of Mei symmetry of Appell equations for non-Chetaev nonholonomic systems. Appell equations and differential equations of motion for non-Chetaev nonholonomic mechanical systems are established. A new expression of the total derivative of the function with respect to time $t$ along the trajectory of a curve of the system is obtained, the definition and the criterion of Mei symmetry of Appell equations under the infinitesimal transformations of groups are also given. The expressions of the structure equation and the Mei conserved quantity of Mei symmetry in the Appell function are obtained. An example is given to illustrate the application of the results.
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10572021).
Cite this article:
Jia Li-Qun(贾利群), Xie Jia-Fang(解加芳), and Zheng Shi-Wang(郑世旺) Structure equation and Mei conserved quantity for Mei symmetry of Appell equation 2008 Chin. Phys. B 17 17
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