1211.2391 (Alberto De Sole et al.)

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

Alberto De Sole, Victor G. Kac

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.

View original: http://arxiv.org/abs/1211.2391