106 citations · 246 across the 12 of their papers we have counts for
Showing 2006Show all
2 papers · 1 filter
nlin.SI2006★ 17 cited
An integrable hierarchy with a perturbed Henon-Heiles system
A. N. W. Hone, V. S Novikov, C. Verhoeven
We consider an integrable scalar partial differential equation (PDE) that is second order in time. By rewriting it as a system and applying the Wahlquist-Estabrook prolongation alg…
nlin.SI2006
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…