Generalized KP hierarchy: Mobius symmetry, symmetry constraints and Calogero-Moser system

Analytic-bilinear approach is used to study continuous and discrete non-iso spectral symmetries of the generalized KP hierarchy. It is shown that Mobiu s symmetry transformation for the singular manifold equation leads to conti nuous or discrete non-isospectral symmetry of the basic (scalar or multicom ponent KP) hierarchy connected with binary Backlund transformation. A more general class of multicomponent Mobius-type symmetries is studied. It is de monstrated that symmetry constraints of KP hierarchy defined using multicom ponent Mobius-type symmetries give rise to Calogero-Moser system. (C) 2001 Elsevier Science B.V. All rights reserved.