11 citations · 22 across the 3 of their papers we have counts for
3 papers
math-ph2014★ 11 cited
The master Painlevé VI heat equation
Robert Conte, Ivan Dornic
Given the second order scalar Lax pair of the sixth Painlevé equation, we build a generalized heat equation with rational coefficients which does not depend any more on the Painlev…
nlin.PS2012★ 11 cited
Nonlinear amplification of coherent waves in media with soliton-type refractive index pattern
Conte Robert, Bugaychuk Svetlana
We derive the complex Ginzburg-Landau equation for the dynamical self-diffraction of optical waves in a nonlinear cavity. The case of the reflection geometry of wave interaction as…
solv-int1996
Discrete version of the Chazy class III equation
Simon Labrunie, Robert Conte
We study the discretisation of the Chazy class III equation by two means: a discrete Painlevé test, and the preservation of a two-parameter solution to the continuous equation. We…