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.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 25 Apr 2018|
- Calogero-Moser hierarchy
- matrix KP hierarchy
- pole dynamics