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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30304-030304.doi: 10.1088/1674-1056/19/3/030304

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

张耀宇¹, 崔金超², 杨新芳², 贾利群²

(1)Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China; (2)School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2009-05-31 修回日期:2009-07-31 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
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).

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

Cui Jin-Chao(崔金超)^a), Zhang Yao-Yu(张耀宇)^b), Yang Xin-Fang(杨新芳)^a), and Jia Li-Qun(贾利群)^a)†

^a School of Science, Jiangnan University, Wuxi 214122, China; ^b Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China

Received:2009-05-31 Revised:2009-07-31 Online:2010-03-15 Published:2010-03-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: variable mass holonomic system, Appell equation, Mei symmetry, Mei conserved quantity

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

02.30.Jr (Partial differential equations)

崔金超, 张耀宇, 杨新芳, 贾利群. Mei symmetry and Mei conserved quantity of Appell equations for a variable mass holonomic system[J]. 中国物理B, 2010, 19(3): 30304-030304.

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[J]. Chin. Phys. B, 2010, 19(3): 30304-030304.

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

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

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