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- W4290802885 abstract "For certain finite groups $G$ of Backlund transformations we show that the dynamics of $G$-invariant configurations of $n|G|$ Calogero--Painlev'e particles is equivalent to certain $n$-particle Calogero--Painlev'e system. We also show that the reduction of dynamics on $G$-invariant subset of $n|G|times n|G|$ matrix Painlev'e system is equivalent to certain $ntimes n$ matrix Painlev'e system. The groups $G$ correspond to folding transformations of Painlev'e equations. The proofs are based on the Hamiltonian reductions." @default.
- W4290802885 created "2022-08-12" @default.
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- W4290802885 date "2022-08-09" @default.
- W4290802885 modified "2023-10-17" @default.
- W4290802885 title "Hamiltonian reductions in Matrix Painlev'e systems" @default.
- W4290802885 doi "https://doi.org/10.48550/arxiv.2208.04824" @default.
- W4290802885 hasPublicationYear "2022" @default.
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