中国物理B ›› 2008, Vol. 17 ›› Issue (1): 17-22.doi: 10.1088/1674-1056/17/1/003

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Structure equation and Mei conserved quantity for Mei symmetry of Appell equation

解加芳1, 郑世旺2, 贾利群3   

  1. (1)Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China; (3)School of Science, Jiangnan University, Wuxi 214122, China
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021).

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)   

  1. a School of Science, Jiangnan University, Wuxi 214122, China; b Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; c Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10572021).

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摘要： 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.

关键词: Appell equation, Mei conserved quantity, Mei symmetry, non-Chetaev nonholonomic system

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.

Key words: Appell equation, Mei conserved quantity, Mei symmetry, non-Chetaev nonholonomic system

中图分类号:  (Special functions)

  • 02.30.Gp
02.30.Jr (Partial differential equations) 02.30.Ik (Integrable systems)