Integrability of Dirac reduced bi-Hamiltonian equations
Loading...
Date
2014-01
Journal Title
Journal ISSN
Volume Title
Publisher
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's, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies.
Description
15 pages