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arXiv · 1712.06943

Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy

V. Pashkov·A. Zabrodin
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Abstract

We establish a correspondence between rational solutions to the matrix KP hierarchy and the spin generalization of the Calogero-Moser system on the level of hierarchies. Namely, it is shown that the rational solutions to the matrix KP hierarchy appear to be isomorphic to the spin Calogero-Moser system in a sense that the dynamics of poles of solutions to the matrix KP hierarchy in the higher times is governed by the higher Hamiltonians of the spin Calogero-Moser integrable hierarchy with rational potential.

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V. Pashkov, A. Zabrodin. 2018-01-01. Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy. https://doi.org/10.1088/1751-8121%2Faabd9c

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