arXiv:0902.1135 Abstract | arXiv Analytics

arXiv:0902.1135 [math-ph]Abstract References Reviews Resources

Lie systems and integrability conditions of differential equations and some of its applications

Published 2009-02-06Version 1

The geometric theory of Lie systems is used to establish integrability conditions for several systems of differential equations, in particular some Riccati equations and Ermakov systems. Many different integrability criteria in the literature will be analysed from this new perspective, and some applications in physics will be given.

Comments: 10 pages

Journal: Proceedings of the 10th international conference on differential geometry and its applications, World Science Publishing, Prague, (2008)

Categories: math-ph, math.MP

Keywords: differential equations, lie systems, applications, integrability criteria, geometric theory

Tags: journal article

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