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

Abstract

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.

arXiv comment13 pages, 0 figure, J. Phys. A Special issue "One hundred years of Painleve' VI"

References in corpus (2)

• Dual Isomonodromic Deformations and Moment Maps to Loop Algebras
• Lax matrices for Yang-Baxter maps

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