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