59 citations · 373 across the 28 of their papers we have counts for
28 papers
Methods for exact solutions of nonlinear ordinary differential equations\
Robert Conte, Micheline Musette, Tuen Wai Ng +1
In order to find closed form solutions of nonintegrable nonlinear ordinary differential equations, numerous tricks have been proposed. The goal of this short review is to recall cl…
All meromorphic traveling waves of cubic and quintic complex Ginzburg-Landau equations
Robert Conte, Micheline Musette, Ng Tuen Wai +1
For both cubic and quintic nonlinearities of the one-dimensional complex Ginzburg-Landau evolution equation, we prove by a theorem of Eremenko the finiteness of the number of trave…
New solutions to the complex Ginzburg-Landau equations
Robert Conte, Micheline Musette, Ng Tuen Wai +1
The various régimes observed in the one-dimensional complex Ginzburg-Landau equation result from the interaction of a very small number of elementary patterns such as pulses, front…
Introduction to the Painlevé property, test and analysis
Robert Conte, Micheline Musette
This short survey presents the essential features of what is called Painlevé analysis, i.e. the set of methods based on the singularities of differential equations in order to perf…
Elliptic general analytic solutions
Robert Conte, Micheline Musette
In order to find analytically the travelling waves of partially integrable autonomous nonlinear partial differential equations, many methods have been proposed over the ages: "proj…
Painleve' property of the He'non-Heiles Hamiltonians
Robert Conte, Micheline Musette, Caroline Verhoeven
Time independent Hamiltonians of the physical type H = (P_1^2+P_2^2)/2+V(Q_1,Q_2) pass the Painleve' test for only seven potentials , known as the He'non-Heiles Hamiltonians, ea…