## Trigonometric Calogero-Moser system as a symmetry reduction of KP hierarchy.(English)Zbl 0980.37023

Aratyn, Henrik (ed.) et al., Integrable hierarchies and modern physical theories. Proceedings of the NATO advanced research Workshop, Chicago, IL, USA, July 22-26, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 18, 277-287 (2001).
Summary: Trigonometric non-isospectral flows are defined for KP hierarchy. It is demonstrated that symmetry constraints of KP hierarchy associated with these flows give rise to trigonometric Calogero-Moser system.
For the entire collection see [Zbl 0964.00039].

### MSC:

 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)

KP hierarchy
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