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Chinese Physics, 2007, Vol. 16(10): 2845-2847    DOI: 10.1088/1009-1963/16/10/003
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Analytical mechanics methods for solving Whittaker equations

Mei Feng-Xiang(梅凤翔), Xie Jia-Fang(解加芳), and Gang Tie-Qiang(冮铁强)
Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract  The purpose of this paper is to study the solution of the celebrated Whittaker equations by using analytical mechanics methods, including the Lagrange--Noether method, Hamilton--Poisson method and potential integral method.
Keywords:  Whittaker equations      Lagrange--Noether method      Hamilton--Poisson method      potential integral method  
Received:  08 December 2006      Revised:  15 December 2006      Accepted manuscript online: 
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  02.30.Hq (Ordinary differential equations)  
  02.30.Jr (Partial differential equations)  
Fund: Project supported by the National Natural Science Foundation (Grant No~10572021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No~20040007022).

Cite this article: 

Mei Feng-Xiang(梅凤翔), Xie Jia-Fang(解加芳), and Gang Tie-Qiang(冮铁强) Analytical mechanics methods for solving Whittaker equations 2007 Chinese Physics 16 2845

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