Low Dimensional Vessiot-Guldberg-Lie Algebras of Second-Order Ordinary Differential Equations

Low Dimensional Vessiot-Guldberg-Lie Algebras of Second-Order Ordinary Differential Equations

A direct approach to non-linear second-order ordinary differential equations admitting a superposition principle is developed by means of Vessiot-Guldberg-Lie algebras of a dimension not exceeding three. This procedure allows us to describe generic types of second-order ordinary differential equatio...

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Bibliographic Details
Main Author: Rutwig Campoamor-Stursberg
Format: Article
Language:English
Published: MDPI AG 2016-03-01
Series:Symmetry
Subjects:
Lie systems
Vessiot-Guldberg-Lie algebra
superposition rule
SODE Lie systems
Online Access:http://www.mdpi.com/2073-8994/8/3/15

Internet

http://www.mdpi.com/2073-8994/8/3/15

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