KP hierarchy and trigonometric Calogero-Moser hierarchy
Mathematical Physics
2020-05-20 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We consider trigonometric solutions of the KP hierarchy. It is known that their poles move as particles of the Calogero-Moser model with trigonometric potential. We show that this correspondence can be extended to the level of hierarchies: the evolution of the poles with respect to the -th hierarchical time of the KP hierarchy is governed by a Hamiltonian which is a linear combination of the first higher Hamiltonians of the trigonometric Calogero-Moser hierarchy.
Keywords
Cite
@article{arxiv.1906.09846,
title = {KP hierarchy and trigonometric Calogero-Moser hierarchy},
author = {A. Zabrodin},
journal= {arXiv preprint arXiv:1906.09846},
year = {2020}
}
Comments
17 pages