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

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

2009-02-06

arxiv.org/abs/0902.1135v1

Proceedings of the 10th international conference on differential geometry and its applications, World Science Publishing, Prag

Physics

Mathematical Physics

10 pages

Scientific paper

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.

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