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nlin.SI2022★ 1 cited
Hamiltonian reductions in Matrix Painlevé systems
Mikhail Bershtein, Andrei Grigorev, Anton Shchechkin
For certain finite groups of Bäcklund transformations we show that the dynamics of -invariant configurations of Calogero--Painlevé particles is equivalent to certain…
nlin.SI2021★ 1 cited
Folding transformations for q-Painleve equations
M. Bershtein, A. Shchechkin
Folding transformation of the Painlevé equations is an algebraic (of degree greater than 1) transformation between solutions of different equations. In 2005 Tsuda, Okamoto and Saka…