Browsing by Author "Falqui, Gregorio"

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Gel'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited

Falqui, Gregorio; Pedroni, Marco (2005-06-20)

In this paper we will discuss some features of the bi-Hamiltonian method for solving the Hamilton-Jacobi (H-J) equations by Separation of Variables, and make contact with the theory of Algebraic Complete Integrability and, ...
On a Camassa-Holm type equation with two dependent variables

Falqui, Gregorio (2005)

We consider a generalization of the Camassa Holm (CH) equation with two dependent variables, called CH2, introduced in [16]. We briefly provide an alternative derivation of it based on the theory of Hamiltonian structures on ...
On Separation of Variables for Homogeneous SL(r) Gaudin Systems

Falqui, Gregorio; Musso, Fabio (2007-12-19)

By means of a recently introduced bihamiltonian structure for the homogeneous Gaudin models, we find a new set of Separation Coordinates for the sl(r) case.
Poisson Pencils, Integrability, and Separation of Variables

Falqui, Gregorio (SISSA, 2003)

In this paper we will review a recently introduced method for solving the Hamilton-Jacobi equations by the method of Separation of Variables. This method is based on the notion of pencil of Poisson brackets and on the ...

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