%0 Report %D 2005 %T Gel\\\'fand-Zakharevich Systems and Algebraic Integrability: the Volterra Lattice Revisited %A Gregorio Falqui %A Marco Pedroni %X 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. %B Regul. Chaotic Dyn. 10 (2005) 399-412 %G en_US %U http://hdl.handle.net/1963/1689 %1 2444 %2 Mathematics %3 Mathematical Physics %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2005-06-20T13:56:39Z\\nNo. of bitstreams: 1\\nnlin.SI0505018.pdf: 230177 bytes, checksum: 9f91c8fd8d698b1a0a0ad018661f1d34 (MD5) %R 10.1070/RD2005v010n04ABEH000322