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

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

2006-04-06

arxiv.org/abs/nlin/0604011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, 0 figure, J. Phys. A Special issue "One hundred years of Painleve' VI"

Scientific paper

10.1088/0305-4470/39/39/S07

Among the reductions of the resonant three-wave interaction system to
six-dimensional differential systems, one of them has been specifically
mentioned as being linked to the generic sixth Painleve' equation P6. We derive
this link explicitly, and we establish the connection to a three-degree of
freedom Hamiltonian previously considered for P6.

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