Painlevé–Calogero correspondence revisited
نویسندگان
چکیده
منابع مشابه
Painlevé-Calogero Correspondence Revisited
We extend the work of Fuchs, Painlevé and Manin on a Calogero-like expression of the sixth Painlevé equation (the “Painlevé-Calogero correspondence”) to the other five Painlevé equations. The Calogero side of the sixth Painlevé equation is known to be a non-autonomous version of the (rank one) elliptic model of Inozemtsev’s extended Calogero systems. The fifth and fourth Painlevé equations corr...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2001
ISSN: 0022-2488
DOI: 10.1063/1.1348025