58 citations · 284 across the 27 of their papers we have counts for
4 papers · 1 filter
Bihamiltonian Geometry, Darboux Coverings, and Linearization of the KP Hierarchy
Gregorio Falqui, Franco Magri, Marco Pedroni
We use ideas of the geometry of bihamiltonian manifolds, developed by Gel'fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation…
Bihamiltonian Reductions and W_n Algebras
Paolo Casati, Gregorio Falqui, Franco Magri +1
We discuss the geometry of the Marsden-Ratiu reduction theorem for a bihamiltonian manifold. We consider the case of the manifolds associated with the Gel'fand-Dickey theory, i.e.,…
Darboux Coverings and Rational Reductions of the KP Hierarchy
Paolo Casati, Gregorio Falqui, Franco Magri +1
We use the method of Darboux coverings to discuss the invariant submanifolds of the KP equations, presented as conservation laws in the space of monic Laurent series in the spectra…
A Note on Fractional KdV Hierarchies
Paolo Casati, Gregorio Falqui, Franco Magri +1
We introduce a hierarchy of mutually commuting dynamical systems on a finite number of Laurent series. This hierarchy can be seen as a prolongation of the KP hierarchy, or a ``redu…