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

TitleGel\\\'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited
Publication TypePreprint
2005
AuthorsFalqui, G, Pedroni, M
Series TitleRegul. Chaotic Dyn. 10 (2005) 399-412
Document NumberSISSA;29/2005/FM

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.

http://hdl.handle.net/1963/1689
10.1070/RD2005v010n04ABEH000322

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