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Birational transformations of the Painlevé equations from their
singularity structure
Professor Robert Conte
Service de
physique de l'état condensé, CEA Saclay, France
(joint work with M. Musette, VUB
Abstract
We present
a consistent truncation, allowing us to obtain the first degree birational transformation found by Okamoto for the sixth Painlevé
equation. The discrete equation arising from its contiguity relation is then
just the sum of six simple poles. The well known confluence between the Painlevé
equations provides a unified picture of all first degree birational
transformations for the lower Painlevé equations, ordering them in two distinct sequences.
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Room 517, Meng Wah Complex, HKU |
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All are welcome |
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