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

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 KP hierarchy with discrete time. The dynamics of poles is derived using the auxiliary linear problem for the discrete flow.

18 pages, no figures

References in corpus (4)

• Universal Whitham hierarchy, dispersionless Hirota equations and multi-component KP hierarchy
• Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy
• D-Bundles and Integrable Hierarchies
• On matrix modified KP hierarchy

Cited by in corpus (2)

• Matrix KP hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy
• Consistency of the Bäcklund transformation for the spin Calogero-Moser system