150 citations · 531 across the 43 of their papers we have counts for
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A note on the super Krichever map
Gregorio Falqui, Cesare Reina, Alessandro Zampa
We consider the geometrical aspects of the Krichever map in the context of Jacobian Super KP hierarchy. We use the representation of the hierarchy based on the Faa` di bruno recurs…
A Bi-Hamiltonian Theory for Stationary KdV Flows and their Separability
Gregorio Falqui, Franco Magri, Marco Pedroni +1
We present a fairly new and comprehensive approach to the study of stationary flows of the Korteweg-de Vries hierarchy. They are obtained by means of a double restriction process f…
The method of Poisson pairs in the theory of nonlinear PDEs
F. Magri, G. Falqui, M. Pedroni
The aim of these lectures is to show that the methods of classical Hamiltonian mechanics can be profitably used to solve certain classes of nonlinear partial differential equations…
Super KP equations and Darboux transformations: another perspective on the Jacobian Super KP hierarchy
Gregorio Falqui, Cesare Reina, Alessandro Zampa
We generalize to the supersymmetric case the representation of the KP hierarchy as a set of conservation laws for the generating series of the conserved densities. We show that the…