中国物理B ›› 2008, Vol. 17 ›› Issue (4): 1153-1155.doi: 10.1088/1674-1056/17/4/001

• •    下一篇

A potential integration method for Birkhoffian system

解加芳1, 胡楚勒2   

  1. (1)Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Physics, HuLun Beier College, Hailaer 021008, China
  • 收稿日期:2007-05-28 修回日期:2007-06-17 出版日期:2008-04-20 发布日期:2008-04-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025).

A potential integration method for Birkhoffian system

Hu Chu-Le(胡楚勒)a)† and Xie Jia-Fang(解加芳)b)   

  1. a Department of Physics, HuLun Beier College, Hailaer 021008, China; b Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2007-05-28 Revised:2007-06-17 Online:2008-04-20 Published:2008-04-01
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10572021 and 10772025).

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摘要： This paper is intended to apply the potential integration method to the differential equations of the Birkhoffian system. The method is that, for a given Birkhoffian system, its differential equations are first rewritten as 2n first-order differential equations. Secondly, the corresponding partial differential equations are obtained by potential integration method and the solution is expressed as a complete integral. Finally, the integral of the system is obtained.

关键词: potential integration method, Birkhoffian system, differential equations, integral

Abstract: This paper is intended to apply the potential integration method to the differential equations of the Birkhoffian system. The method is that, for a given Birkhoffian system, its differential equations are first rewritten as 2n first-order differential equations. Secondly, the corresponding partial differential equations are obtained by potential integration method and the solution is expressed as a complete integral. Finally, the integral of the system is obtained.

Key words: potential integration method, Birkhoffian system, differential equations, integral

中图分类号:  (Measure and integration)

  • 02.30.Cj
02.30.Em (Potential theory) 02.30.Jr (Partial differential equations) 02.60.Jh (Numerical differentiation and integration)