Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy

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Abstract

We introduce the discrete time version of the spin Calogero-Moser system. The equations of motion follow from the dynamics of poles of rational solutions to the matrix Kadomtsev-Petviashvili hierarchy with discrete time. The dynamics of poles is derived using the auxiliary linear problem for the discrete flow.

Original languageEnglish
Article number033502
JournalJournal of Mathematical Physics
Volume60
Issue number3
DOIs
Publication statusPublished - 1 Mar 2019

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