Integrability of Lie systems and some of its applications in physics
Mathematical Physics
2009-02-06 v1 math.MP
Abstract
The geometric theory of Lie systems will be used to establish integrability conditions for several systems of differential equations, in particular Riccati equations and Ermakov systems. Many different integrability criteria in the literature will be analyzed from this new perspective and some applications in physics will be given.
Keywords
Cite
@article{arxiv.0810.4006,
title = {Integrability of Lie systems and some of its applications in physics},
author = {José F. Cariñena and Javier de Lucas and Manuel F. Rañada},
journal= {arXiv preprint arXiv:0810.4006},
year = {2009}
}
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16 pages