Generalized KP hierarchy: Möbius symmetry, symmetry constraints and Calogero-Moser system
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.
- Publication:
-
Physica D Nonlinear Phenomena
- Pub Date:
- May 2001
- DOI:
- 10.1016/S0167-2789(01)00161-0
- Bibcode:
- 2001PhyD..152...85B