97 citations · 180 across the 7 of their papers we have counts for
7 papers
Quasi-Lie schemes and Emden--Fowler equations
J. F. Cariñena, P. G. L. Leach, J. de Lucas
The recently developed theory of quasi-Lie schemes is studied and applied to investigate several equations of Emden type and a scheme to deal with them and some of their generalisa…
Lie systems and integrability conditions of differential equations and some of its applications
J. F. Cariñena, J. de Lucas
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 sy…
A geometric approach to time evolution operators of Lie quantum systems
José F. Cariñena, Javier de Lucas, Arturo Ramos
Lie systems in Quantum Mechanics are studied from a geometric point of view. In particular, we develop methods to obtain time evolution operators of time-dependent Schrodinger equa…
Integrability of Lie systems and some of its applications in physics
José F. Cariñena, Javier de Lucas, Manuel F. Rañada
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 sy…
A geometric approach to integrability conditions for Riccati equations
Jose F. Cariñena, Javier de Lucas, Arturo Ramos
Several instances of integrable Riccati equations are analyzed from the geometric perspective of the theory of Lie systems. This provides us a unifying viewpoint for previous appro…
A nonlinear superposition rule for solutions of the Milne--Pinney equation
José F. Cariñena, Javier de Lucas
A superposition rule for two solutions of a Milne--Pinney equation is derived.