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Generalized KP hierarchy: Möbius Symmetry, Symmetry Constraints and Calogero-Moser System

L. V. Bogdanov·B. G. Konopelchenko
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Abstract

Analytic-bilinear approach is used to study continuous and discrete non-isospectral symmetries of the generalized KP hierarchy. It is shown that Möbius symmetry transformation for the singular manifold equation leads to continuous or discrete non-isospectral symmetry of the basic (scalar or multicomponent KP) hierarchy connected with binary Bäcklund transformation. A more general class of multicomponent Möbius-type symmetries is studied. It is demonstrated that symmetry constraints of KP hierarchy defined using multicomponent Möbius-type symmetries give rise to Calogero-Moser system.

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BibTeXRIS

L. V. Bogdanov, B. G. Konopelchenko. 1999-12-06. Generalized KP hierarchy: Möbius Symmetry, Symmetry Constraints and Calogero-Moser System. https://arxiv.org/abs/solv-int/9912005

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