Falqui, GregorioPedroni, Marco2005-06-202011-09-072005-06-202011-09-072005-06-20Regul. Chaotic Dyn. 10 (2005) 399-412https://openscience.sissa.it/handle/1963/1689In 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.230177 bytesapplication/pdfen-USPreprint