10 citations · 16 across the 2 of their papers we have counts for
4 papers
On the modular classes of Poisson-Nijenhuis manifolds
Yvette Kosmann-Schwarzbach, Franco Magri
We prove a property of the Poisson-Nijenhuis manifolds which yields new proofs of the bihamiltonian properties of the hierarchy of modular vector fields defined by Damianou and Fer…
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice
Pantelis A. Damianou, Franco Magri
In this paper we propose a new algorithm for obtaining the rational integrals of the full Kostant-Toda lattice. This new approach is based on a reduction of a bi-Hamiltonian system…
A cohomological construction of integrable hierarchies of hydrodynamic type
Paolo Lorenzoni, Franco Magri
We explain how to use the theory of bidifferential ideals to construct integrable hierarchies of hydrodynamic type.
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…