Title	A symmetric differential-difference Lax Pair for the sixth Painleve equation
Creator	Ormerod, Christopher
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-10-06T14:16
Description	We present a Lax pair for the sixth Painleve equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair. We show how the discrete isomonodromic deformations of the associated linear problem gives us a discrete version of the fifth Painleve equation. By considering degenerations we obtain symmetric difference-differential Lax pairs for the fifth Painleve equation and the various degenerate versions of the third Painleve equation.
Extent	40 minutes
Subject	Mathematics; Ordinary differential equations; Dynamical systems and ergodic theory; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Maine
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-04-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343499
URI	http://hdl.handle.net/2429/61141
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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