Gel'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited
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2005-06-20T13:56:40Z
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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.
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Regul. Chaotic Dyn. 10 (2005) 399-412