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.
- Pub Date:
- December 1999
- Exactly Solvable and Integrable Systems;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- 18 pages, LaTeX, talk at "Solitons, Collapses and Turbulence: Achievements, Developments and Perspectives" (August 1999, Chernogolovka, Russia)