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Robert Conte
Service de physique de l'etat condense, CEA-Saclay, France
A reduction of the resonant three-wave interaction to the generic sixth Painleve equation
Monday 29th November 11:05-11:55pm,
Carslaw Lecture Theatre 173.
Among the reductions of the resonant three-wave interaction system to
six-dimensional differential systems, one of them has been mentioned
by Kitaev to be linked to the generic sixth Painleve equation. We
give this link explicitly, and this provides in addition a new Lax
pair for $\PVI$, without any restriction of the monodromy exponents.
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