papers

Publications (63)

nlin.SI2000

Analytic expressions of hydrothermal waves

Robert Conte, Micheline Musette

nlin.PS2008

Doubly periodic waves of a discrete nonlinear Schrödinger system with saturable nonlinearity

Robert Conte, Kwok-wing Chow

math.CV2021

Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations

Robert Conte, Tuen-Wai Ng, Chengfa Wu

math.CA2010

Meromorphic solutions of a third order nonlinear differential equation

Robert Conte, Ng Tuen-Wai

nlin.PS2009

Ginzburg-Landau equation for dynamical four-wave mixing in gain nonlinear media with relaxation

Svitlana Bugaychuk, Robert Conte

nlin.SI2002

The Painlevé methods

Robert Conte, Micheline Musette

math.CV2022

Equivalence of two canonical lists of elliptic functions

Robert Conte, Liangwen Liao, Chengfa Wu

nlin.SI2010

A connection between HH3 and KdV with one source

Jun-xiao Zhao, Robert Conte

nlin.SI2001

New contiguity relation of the sixth Painlevé equation from a truncation

Robert Conte, Micheline Musette

nlin.SI2007

Painlevé structure of a multi-ion electrodiffusion system

Robert Conte, Colin Rogers, Wolfgang Schief

math.CA2012

Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation

Robert Conte, Tuen-Wai Ng

nlin.PS2006

Periodic waves of a discrete higher order nonlinear Schroedinger equation

Robert Conte, Kwok-wing Chow

nlin.SI2000

Exact solutions of nonlinear partial differential equations by singularity analysis

Robert Conte

nlin.SI2006

A reduction of the resonant three-wave interaction to the generic sixth Painleve' equation

Robert Conte, A. Michel Grundland, Micheline Musette

nlin.PS2021

Explicit breather solution of the nonlinear Schrödinger equation

Robert Conte, ENS Paris-Saclay

nlin.PS2022

New solutions to the complex Ginzburg-Landau equations

Robert Conte, Micheline Musette, Ng Tuen Wai +1

nlin.SI2015

Exact solution of the planar motion of three arbitrary point vortices

Robert Conte, Laurent de Seze

math-ph2017

Generalized Bonnet surfaces and Lax pairs of

Robert Conte

nlin.SI2012

Exact meromorphic stationary solutions of the real cubic Swift-Hohenberg equation

Robert Conte, Tuen-Wai Ng, Kwok-Kin Wong

math.DG2016

Reductions of Gauss-Codazzi equations

Robert Conte, A. Michel Grundland

gr-qc2023

On a dynamical system linked to the BKL scenario

Robert Conte

solv-int1996

A geometrical method towards first integrals for dynamical systems

Simon Labrunie, Robert Conte

nlin.SI2025

Methods for exact solutions of nonlinear ordinary differential equations\

Robert Conte, Micheline Musette, Tuen Wai Ng +1

math-ph2014

The master Painlevé VI heat equation

Robert Conte, Ivan Dornic

nlin.SI2007

On the Lax pairs of the sixth Painleve' equation

Robert Conte

math.CA2001

On the Schlesinger transformations of the sixth Painlevé equation

Robert Conte

solv-int1995

Non-Fuchsian extension to the Painlevé test

Micheline Musette, Robert Conte

nlin.SI2001

A truncation for obtaining all the first degree birational transformations of the Painlevé transcendents

Robert Conte, Micheline Musette

patt-sol1993

Exact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau Equation

Philippe Marcq, Hugues Chate', Robert Conte

nlin.SI2014

Introduction to the Painlevé property, test and analysis

Robert Conte, Micheline Musette

nlin.SI2007

A closed-form solution in a dynamical system related to Bianchi IX

Robert Conte

nlin.SI2018

Singularity methods for meromorphic solutions of differential equations

Robert Conte, Tuen Wai Ng, Chengfa Wu

nlin.PS2023

All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations

Robert Conte, Micheline Musette, Ng Tuen Wai +1

nlin.PS2010

Exact internal waves of a Boussinesq system

Hai Yen Nguyen, Fre'de'ric Dias, Robert Conte

solv-int1996

Discrete version of the Chazy class III equation

Simon Labrunie, Robert Conte

nlin.SI2001

First degree birational transformations of the Painlevé equations and their contiguity relations

Robert Conte, Micheline Musette

math-ph2025

Minimal algebraic solutions of the sixth equation of Painlevé

Robert Conte

physics.optics2016

Analytic study of a coupled Kerr-SBS system

Robert Conte, Maria Luz Gandarias

math-ph2026

Explicit higher order rational rogue waves of the nonlinear Schrödinger equation

Robert Conte, ENS Paris-Saclay, The University of Hong Kong

math-ph2016

Surfaces de Bonnet et équations de Painlevé

Robert Conte

nlin.SI2025

Holomorphic, rational Lax pairs of a -discrete Painlevé VI equation

Robert Conte

nlin.SI2004

Explicit integration of the Hénon-Heiles Hamiltonians

Robert Conte, Micheline Musette, Caroline Verhoeven

math-ph2026

Geometry of the Ising persistence problem and the universal Bonnet-Manin Painlevé VI distribution

Ivan Dornic, Robert Conte

nlin.SI2006

Painleve' property of the He'non-Heiles Hamiltonians

Robert Conte, Micheline Musette, Caroline Verhoeven

nlin.SI2026

On the Gurevich-Pitaevskii solution of KdV

Robert Conte

nlin.SI2005

Completeness of the cubic and quartic Hénon-Heiles Hamiltonians

Robert Conte, Micheline Musette, Caroline Verhoeven

math.CV2015

Hayman's classical conjecture on some nonlinear second order algebraic ODEs

Robert Conte, Tuen-Wai Ng, Cheng-Fa Wu

math.CA2009

Elliptic general analytic solutions

Robert Conte, Micheline Musette

nlin.SI2020

Exact solutions of a nonlinear diffusion equation with absorption and production

Robert Conte

nlin.PS2004

Solitary waves of nonlinear nonintegrable equations

Robert Conte, Micheline Musette

math-ph2023

Réductions d'un système bidimensionnel de sine-Gordon à la sixième équation de Painlevé

Robert Conte, A. Michel Grundland

nlin.SI2005

Hamiltonians with two degrees of freedom admitting a singlevalued general solution

Robert Conte, Micheline Musette, Caroline Verhoeven

nlin.SI2004

On reductions of some KdV-type systems and their link to the quartic He'non-Heiles Hamiltonian

Caroline Verhoeven, Micheline Musette, Robert Conte

nlin.PS2008

Analytic structure of the four-wave mixing model in photorefractive materials

Robert Conte, Svetlana Bugaychuk

math.AG2004

Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory

Robert Conte, Maria Luz Gandarias

nlin.SI2009

Explicit solutions of the four-wave mixing model

Robert Conte, Svetlana Bugaychuk

math.DG2025

A purely analytic derivation of Bonnet surfaces

Robert Conte, A. Michel Grundland

nlin.SI2006

Integration of partially integrable equations

Robert Conte

nlin.SI2018

On a surface isolated by Gambier

Runliang Lin, Robert Conte

nlin.SI2008

Partial integrability of the anharmonic oscillator

Robert Conte

nlin.SI2017

Solutions of the buoyancy-drag equation with a time-dependent acceleration

Serge E. Bouquet, Robert Conte, Vincent Kelsch +1

nlin.PS2012

Detection and construction of an elliptic solution to the complex cubic-quintic Ginzburg-Landau equation

Robert Conte, Tuen-Wai Ng

nlin.PS2005

Analytic doubly periodic wave patterns for the integrable discrete nonlinear Schroedinger (Ablowitz-Ladik) model

K. W. Chow, Robert Conte, Neil Xu