Generalized KP hierarchy: Möbius Symmetry, Symmetry Constraints and CalogeroMoser System
Abstract
Analyticbilinear approach is used to study continuous and discrete nonisospectral symmetries of the generalized KP hierarchy. It is shown that Möbius symmetry transformation for the singular manifold equation leads to continuous or discrete nonisospectral symmetry of the basic (scalar or multicomponent KP) hierarchy connected with binary Bäcklund transformation. A more general class of multicomponent Möbiustype symmetries is studied. It is demonstrated that symmetry constraints of KP hierarchy defined using multicomponent Möbiustype symmetries give rise to CalogeroMoser system.
 Publication:

arXiv eprints
 Pub Date:
 December 1999
 arXiv:
 arXiv:solvint/9912005
 Bibcode:
 1999solv.int.12005B
 Keywords:

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