On the Hamiltonian Structures and the Reductions of the KP Hierarchy
D.A. Depireux and Jeremy Schiff
Invited talk given by D.A.Depireux at the NSERC-CAP Workshop
Quantum Groups, Integrable Models and Statistical Systems,
Kingston, Ontario (July 1992). Published in workshop proceedings (Plenum 1993).
Recent work on a free field realization of the
Hamiltonian structures of the classical KP hierarchy and of its flows is
reviewed. It is shown that it corresponds to a reduction of KP to the NLS