@article {2001,
	title = {Bihamiltonian geometry and separation of variables for Toda lattices},
	journal = {J. Nonlinear Math. Phys. 8 (2001), suppl., 118-127},
	number = {SISSA;139/99/FM},
	year = {2001},
	publisher = {SISSA Library},
	url = {http://hdl.handle.net/1963/1354},
	author = {Gregorio Falqui and Franco Magri and Marco Pedroni}
}
@article {2000,
	title = {A bi-Hamiltonian theory for stationary KDV flows and their separability},
	journal = {Regul. Chaotic Dyn. 5 (2000), no. 1, 33-52},
	number = {SISSA;137/99/FM},
	year = {2000},
	publisher = {SISSA Library},
	doi = {10.1070/rd2000v005n01ABEH000122},
	url = {http://hdl.handle.net/1963/1352},
	author = {Gregorio Falqui and Franco Magri and Marco Pedroni and Jorge P. Zubelli}
}
@article {2000,
	title = {An elementary approach to the polynomial $\\\\tau$-functions of the KP Hierarchy},
	journal = {Theor. Math. Phys. 122 (2000) 17-28},
	number = {SISSA;117/98/FM},
	year = {2000},
	publisher = {Springer},
	abstract = {We give an elementary construction of the solutions of the KP hierarchy associated with polynomial τ-functions starting with a geometric approach to soliton equations based on the concept of a bi-Hamiltonian system. As a consequence, we establish a Wronskian formula for the polynomial τ-functions of the KP hierarchy. This formula, known in the literature, is obtained very directly.},
	doi = {10.1007/BF02551166},
	url = {http://hdl.handle.net/1963/3223},
	author = {Gregorio Falqui and Franco Magri and Marco Pedroni and Jorge P. Zubelli}
}
@article {2000,
	title = {Reduction of bi-Hamiltonian systems and separation of variables: an example from the Boussinesq hierarchy},
	journal = {Theor. Math. Phys. 122 (2000) 176-192},
	number = {SISSA;123/98/FM},
	year = {2000},
	publisher = {Springer},
	abstract = {We discuss the Boussinesq system with $t_5$ stationary, within a general framework for the analysis of stationary flows of n-Gel\\\'fand-Dickey hierarchies. We show how a careful use of its bihamiltonian structure can be used to provide a set of separation coordinates for the corresponding Hamilton--Jacobi equations.},
	doi = {10.1007/BF02551195},
	url = {http://hdl.handle.net/1963/3219},
	author = {Gregorio Falqui and Franco Magri and G. Tondo}
}
@inbook {1999,
	title = {A bihamiltonian approach to separation of variables in mechanics},
	booktitle = {Proceedings of the workshop on nonlinearity, integrability and all that : twenty years after NEEDS \\\'79, Lecce, Italy, July 1 - 10, 1999 / ed. by M. Boiti. - Singapore : World Scientific, 2000. - p. 258-266},
	year = {1999},
	publisher = {World Scientific},
	organization = {World Scientific},
	abstract = {This paper is a report on a recent approach to the theory of separability of the Hamilton-Jacobi equations from the viewpoint of bihamiltonian geometry.},
	url = {http://hdl.handle.net/1963/3222},
	author = {Gregorio Falqui and Franco Magri and Marco Pedroni}
}
@inbook {1999,
	title = {The method of Poisson pairs in the theory of nonlinear PDEs},
	booktitle = {Direct and inverse methods in nonlinear evolution equations : Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, September 5-12, 1999 / Robert Conte ... ; Antonio M. Greco ed. - Berlin : Springer, 2003. - (Lecture Notes in Physics ; 632)},
	number = {SISSA;135/99/FM},
	year = {1999},
	publisher = {Springer},
	organization = {Springer},
	abstract = {The aim of these lectures is to show that the methods of classical Hamiltonian mechanics can be profitably used to solve certain classes of nonlinear partial differential equations. The prototype of these equations is the well-known Korteweg-de Vries (KdV) equation.\\nIn these lectures we touch the following subjects:\\ni) the birth and the role of the method of Poisson pairs inside the theory of the KdV equation;\\nii) the theoretical basis of the method of Poisson pairs;\\niii) the Gel\\\'fand-Zakharevich theory of integrable systems on bi-Hamiltonian manifolds;\\niv) the Hamiltonian interpretation of the Sato picture of the KdV flows and of its linearization on an infinite-dimensional Grassmannian manifold.\\nv) the reduction technique(s) and its use to construct classes of solutions;\\nvi) the role of the technique of separation of variables in the study of the reduced systems;\\nvii) some relations intertwining the method of Poisson pairs with the method of Lax pairs.},
	doi = {10.1007/b13714},
	url = {http://hdl.handle.net/1963/1350},
	author = {Gregorio Falqui and Franco Magri and Marco Pedroni}
}
