80 citations · 183 across the 25 of their papers we have counts for
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math.DG2007
New classification techniques for ordinary differential equations
Raouf Dridi, Michel Petitot
The goal of the present paper is to propose an enhanced ordinary differential equations solver by exploitation of the powerful equivalence method of Élie Cartan. This solver return…
math.DG2007
On the geometry of the first and second Painlevé equations
Raouf Dridi
In this paper we \emph{explicitly} compute the transformation that maps the generic second order differential equation to the Painlevé first equation $y''=6y^2+x…
math.DG2005★ 1 cited
Elie Cartan's geometrical vision or how to avoid expression swell
S. Neut, M. Petitot, R. Dridi
The aim of the paper is to demonstrate the superiority of Cartan's method over direct methods based on differential elimination for handling otherwise intractable equivalence probl…