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

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

2004-05-13

arxiv.org/abs/nlin/0405034v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, 3 figures, NATO ARW, 15-19 september 2002, Elba

Scientific paper

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 quartic H\'enon-Heiles Hamiltonians.

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