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Application of the theory of separability of second-order differential equations

 

作者: W. Sarlet,   F. Cantrijn,   E. Martínez,  

 

期刊: Journal of Nonlinear Mathematical Physics  (Taylor Available online 1994)
卷期: Volume 1, issue 1  

页码: 5-24

 

ISSN:1402-9251

 

年代: 1994

 

DOI:10.2991/jnmp.1994.1.1.1

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

A comprehensive application is presented of a recent theory concerning a geometric characterization of separable second-order differential equations. The main purpose of the paper is to illustrate how the practical algorithm developed from this theory effectively works, and what the significance is of the different conditions entering the separability theorem. These conditions are recalled in a coordinate representation, so as to make the paper sufficiently self-contained for practical computations.

 

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