Alberto De Sole, Victor G. Kac, Daniele Valeri
Published 2014-01-23, updated 2014-07-23Version 2
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.
Comments: 15 pages. Corrected some typos and added missing equations in Section 5 for g=sl_n, n>2
A new approach to the Lenard-Magri scheme of integrability
Dirac reduction for Poisson vertex algebras
On integrability of some bi-Hamiltonian two field systems of PDE
![QR code for arXiv:1401.6006 [math-ph]](http://oss.arxitics.com/images/favicon.svg)