23 citations · 82 across the 9 of their papers we have counts for
3 papers · 1 filter
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…