José F. Cariñena, Javier de Lucas, Manuel F. Rañada
Published 2008-10-22Version 1
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.
Comments: 16 pages
Journal: J. Phys. A: Math. Theor. 41 304029 (2008)
Lie systems and integrability conditions of differential equations and some of its applications
The Magnus expansion and some of its applications
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