TY - RPRT T1 - Gel\\\'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited Y1 - 2005 A1 - Gregorio Falqui A1 - Marco Pedroni AB - 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. JF - Regul. Chaotic Dyn. 10 (2005) 399-412 UR - http://hdl.handle.net/1963/1689 U1 - 2444 U2 - Mathematics U3 - Mathematical Physics ER -