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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.)
Keywords:
KP hierarchy
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