%0 Report %D 2014 %T Integrability of Dirac reduced bi-Hamiltonian equations %A Alberto De Sole %A Victor G. Kac %A Daniele Valeri %X 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's, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies. %I SISSA %G en %U http://hdl.handle.net/1963/7247 %1 7286 %2 Mathematics %4 1 %# MAT/07 FISICA MATEMATICA %$ Submitted by Daniele Valeri (dvaleri@sissa.it) on 2014-01-24T09:47:51Z No. of bitstreams: 1 1401.6006v1.pdf: 249123 bytes, checksum: 3b83fabf790160e10ecb05aa89251970 (MD5)