127 citations · 780 across the 73 of their papers we have counts for
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Explicit integration of the Hénon-Heiles Hamiltonians
Robert Conte, Micheline Musette, Caroline Verhoeven
We consider the cubic and quartic He'non-Heiles Hamiltonians with additional inverse square terms, which pass the Painleve' test for only seven sets of coefficients. For all the no…
Symmetry reductions of a particular set of equations of associativity in twodimensional topological field theory
Robert Conte, Maria Luz Gandarias
The WDVV equations of associativity arising in twodimensional topological field theory can be represented, in the simplest nontrivial case, by a single third order equation of the…
Solitary waves of nonlinear nonintegrable equations
Robert Conte, Micheline Musette
Our goal is to find closed form analytic expressions for the solitary waves of nonlinear nonintegrable partial differential equations. The suitable methods, which can only be nonpe…
On reductions of some KdV-type systems and their link to the quartic He'non-Heiles Hamiltonian
Caroline Verhoeven, Micheline Musette, Robert Conte
A few 2+1-dimensional equations belonging to the KP and modified KP hierarchies are shown to be sufficient to provide a unified picture of all the integrable cases of the cubic and…
Another integrable case in the Lorenz model
Yee Tat-leung, R. Conte
A scaling invariance in the Lorenz model allows one to consider the usually discarded case sigma=0. We integrate it with the third Painlevé function.