@article {2014,
	title = {Integrability of Dirac reduced bi-Hamiltonian equations},
	number = {arXiv:1401.6006;},
	year = {2014},
	note = {15 pages},
	institution = {SISSA},
	abstract = {First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE{\textquoteright}s, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies.},
	url = {http://hdl.handle.net/1963/7247},
	author = {Alberto De Sole and Victor G. Kac and Daniele Valeri}
}
