55 citations · 486 across the 49 of their papers we have counts for
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math.CA2015★ 4 cited
Quasi-Lie families, schemes, invariants and their applications to Abel equations
J. F. Cariñena, J. de Lucas
This work analyses types of group actions on families of -dependent vector fields of a particular class, the hereby called quasi-Lie families. We devise methods to obtain the de…
math.CA2012★ 14 cited
Mixed superposition rules and the Riccati hierarchy
Janusz Grabowski, Javier de Lucas
Mixed superposition rules, i.e., functions describing the general solution of a system of first-order differential equations in terms of a generic family of particular solutions of…
math.CA2010★ 17 cited
Lie families: theory and applications
Jose F. Carinena, Janusz Grabowski, Javier de Lucas
We analyze families of non-autonomous systems of first-order ordinary differential equations admitting a common time-dependent superposition rule, i.e., a time-dependent map expres…