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

Abstract

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, specifically, with the Veselov–Novikov notion of algebro-geometric (AG) Poisson brackets. The bi-Hamiltonian method for separating the… (More)

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Cite this paper

@inproceedings{Falqui2005GelfandZakharevichSA, title={Gel’fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited}, author={Gregorio Falqui and Marco Pedroni}, year={2005} }