Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (6): 569-576.

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GENERALIZED WHITTAKER EQUATIONS AND FIELD METHOD IN GENERALIZED CLASSICAL MECHANICS

Mei Feng-xiang   

  1. Beijing Institute of Technology, Beijing
  • Received:1989-05-08 Online:1990-06-18 Published:1990-06-18
  • Supported by:
    The project Supported by National Natural Science Foundation of China

Abstract: This paper presents the energy integral in generalized classical mechanics. The integral enables us to reduce a given canonical system with 2n order to another system with only (2n-2) order and to obtain generalized Whittaker equations. And then, this paper extends a field method integrating the equations of motion for classical mechanics to generalized dassical mechanics. Finally, this paper gives an example to illustrate the application of these equations and the field method.

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