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math-ph2016★ 23 cited
Noncommutative extensions of elliptic integrable Euler-Arnold tops and Painleve VI equation
A. Levin, M. Olshanetsky, A. Zotov
In this paper we suggest generalizations of elliptic integrable tops to matrix-valued variables. Our consideration is based on -matrix description which provides Lax pairs in te…
math-ph2013
Painleve Field Theory
G. Aminov, S. Arthamonov, A. Levin +2
We propose multidimensional versions of the Painlevé VI equation and its degenerations. These field theories are related to the isomonodromy problems of flat holomorphic infinite r…