# Matrix KP hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy

@article{Prokofev2019MatrixKH, title={Matrix KP hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy}, author={V. Prokofev and A. Zabrodin}, journal={arXiv: Mathematical Physics}, year={2019} }

We consider solutions of the matrix KP hierarchy that are trigonometric functions of the first hierarchical time $t_1=x$ and establish the correspondence with the spin generalization of the trigonometric Calogero-Moser system on the level of hierarchies. Namely, the evolution of poles $x_i$ and matrix residues at the poles $a_i^{\alpha}b_i^{\beta}$ of the solutions with respect to the $k$-th hierarchical time of the matrix KP hierarchy is shown to be given by the Hamiltonian flow with the…

## One Citation

### Elliptic solutions to matrix KP hierarchy and spin generalization of elliptic Calogero–Moser model

- Mathematics
- 2021

We consider solutions of the matrix KP hierarchy that are elliptic functions of the first hierarchical time t1 = x. It is known that poles xi and matrix residues at the poles ρ i = a α i b β i of…

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