127 citations · 780 across the 73 of their papers we have counts for
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Explicit higher order rational rogue waves of the nonlinear Schrödinger equation
Robert Conte, ENS Paris-Saclay, The University of Hong Kong
The -th order rational rogue wave of the nonlinear Schrödinger equation (NLS), which depends on real parameters, has been shown to be impossible to generate by the nonli…
Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlevé VI distribution
Ivan Dornic, Robert Conte
We determine the full persistence probability distribution for a non-Markovian stochastic process, motivated by first-passage questions arising in interacting spin systems and alli…
Minimal algebraic solutions of the sixth equation of Painlevé
Robert Conte
For each of the forty-eight exceptional algebraic solutions of the sixth equation of Painlevé, we build the algebraic curve of a degree conjectured to be minimal,…
New algebraically solvable systems of two autonomous first-order ordinary differential equations with purely quadratic right-hand sides
F. Calogero, R. Conte, F. Leyvraz
We identify many new solvable subcases of the general dynamical system characterized by two autonomous first-order ordinary differential equations with purely quadratic right-hand…
Generalized Bonnet surfaces and Lax pairs of
Robert Conte
We build analytic surfaces in represented by the most general sixth Painlevé equation in two steps. Firstly, the moving frame of the surfaces built by Bo…
Surfaces de Bonnet et équations de Painlevé
Robert Conte
Nous montrons que les équations du repère mobile des surfaces de Bonnet conduisent à une paire de Lax matricielle isomonodromique d'ordre deux pour la sixième équation de Painlevé.…
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…
Elliptic solutions of isentropic ideal compressible fluid flow in (3+1) dimensions
R. Conte, A. M. Grundland, B. Huard
A modified version of the conditional symmetry method, together with the classical method, is used to obtain new classes of elliptic solutions of the isentropic ideal compressible…