For certain finite groups G of Bäcklund transformations, we show that a dynamics of G-invariant configurations of n| G| Calogero–Painlevé particles is equivalent to a certain n-particle Calogero–Painlevé system. We also show that the reduction of a dynamics on G-invariant subset of n| G| × n| G| matrix Painlevé system is equivalent to a certain n× n matrix Painlevé system. The groups G correspond to folding transformations of Painlevé equations. The proofs are based on Hamiltonian reductions.
Hamiltonian reductions in matrix Painlevé systems / Bershtein, M.; Grigorev, A.; Shchechkin, A.. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 113:2(2023). [10.1007/s11005-023-01651-5]
Hamiltonian reductions in matrix Painlevé systems
Bershtein M.;Shchechkin A.
2023-01-01
Abstract
For certain finite groups G of Bäcklund transformations, we show that a dynamics of G-invariant configurations of n| G| Calogero–Painlevé particles is equivalent to a certain n-particle Calogero–Painlevé system. We also show that the reduction of a dynamics on G-invariant subset of n| G| × n| G| matrix Painlevé system is equivalent to a certain n× n matrix Painlevé system. The groups G correspond to folding transformations of Painlevé equations. The proofs are based on Hamiltonian reductions.| File | Dimensione | Formato | |
|---|---|---|---|
|
unpaywall-bitstream--1642383522.pdf
accesso aperto
Descrizione: pdf editoriale
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
672.48 kB
Formato
Adobe PDF
|
672.48 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
