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- Gregorio Falqui, Franco Magri, Marco Pedroni
- 1998

We use ideas of the geometry of bihamiltonian manifolds, developed by Gelâ€™fand and Zakharevich, to study the KP equations. In this approach they have the form of local conservation laws, and can beâ€¦ (More)

- Gregorio Falqui, Franco Magri, Marco Pedroni, Jorge P. Zubelli
- 2000

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 from a dynamicalâ€¦ (More)

- Luca Degiovanni, Franco Magri, Vincenzo Sciacca
- 2008

We study a class of deformations of infinite-dimensional Poisson manifolds of hydrodynamic type which are of interest in the theory of Frobenius manifolds. We prove two results. First, we show thatâ€¦ (More)

- Paolo Casati, Gregorio Falqui, Franco Magri, Marco Pedroni
- 1996

One of the cornerstone of the theory of integrable systems of KdV type has been the remark that the nâ€“GD equations are reductions of the full KP theory. In this paper we address the analogous problemâ€¦ (More)

- Gregorio FALQUI, Franco Magri, Marco Pedroni
- 2000

We discuss the bihamiltonian geometry of the Toda lattice (periodic and open). Using some recent results on the separation of variables for bihamiltonian manifold, we show that these systems can beâ€¦ (More)

- G. Falqui, Franco Magri, Giorgio Tondo
- 1999

We discuss the Boussinesq system with t5 stationary, within a general framework for the analysis of stationary flows of nâ€“Gelâ€™fand Dickey hierarchies. We show how a careful use of its bihamiltonianâ€¦ (More)

Interpretation of dispersionless integrable hierarchies as equations of coisotropic deformations for certain associative algebras and other algebraic structures is discussed. It is shown that withinâ€¦ (More)

- Franco Magri, Gregorio Falqui, Marco Pedroni
- 2000

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. The prototype ofâ€¦ (More)

The paper is an inquiry of the algebraic foundations of the theory of dispersionless integrable hierarchies, like the dispersionless KP and modified KP hierarchies and the universal Whitham'sâ€¦ (More)

- Paolo Casati, Gregorio Falqui, Franco Magri, Marco Pedroni
- 1998

We discuss the geometry of the Marsdenâ€“Ratiu reduction theorem for a bihamiltonian manifold. We consider the case of the manifolds associated with the Gelâ€™fandâ€“ Dickey theory, i.e., loop algebrasâ€¦ (More)