Non-local Poisson structures and applications to the theory of integrable systems II

Alberto De Sole, Victor G. Kac

Published 2012-11-11Version 1

We develop further the Lenard-Magri scheme of integrability for a pair of compatible non-local Poisson structures, which we discussed in Part I. We apply this scheme to several such pairs, proving thereby integrability of various evolution equations, as well as hyperbolic equations. Some of these equations may be new.