143 citations · 921 across the 50 of their papers we have counts for
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math-ph2007★ 28 cited
Integrable systems without the Painlevé property
Alfred Ramani, Basile Grammaticos, Sébastien Tremblay
We examine whether the Painlevé property is a necessary condition for the integrability of nonlinear ordinary differential equations. We show that for a large class of linearisable…
math-ph2007★ 63 cited
Integrable lattice equations and their growth properties
Sébastien Tremblay, Basile Grammaticos, Alfred Ramani
In this paper we investigate the integrability of two-dimensional partial difference equations using the newly developed techniques of study of the degree of the iterates. We show…