40 citations · 196 across the 18 of their papers we have counts for
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math-ph2009★ 14 cited
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…
math-ph2009★ 29 cited
Applications of Lie systems in dissipative Milne--Pinney equations
J. F. Cariñena, J. de Lucas
We use the geometric approach to the theory of Lie systems of differential equations in order to study dissipative Ermakov systems. We prove that there is a superposition rule for…
math-ph2009
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…