Nonlocal Poisson structures and applications to the theory of integrable systems II
Abstract
We develop further the LenardMagri scheme of integrability for a pair of compatible nonlocal 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2012
 arXiv:
 arXiv:1211.2391
 Bibcode:
 2012arXiv1211.2391D
 Keywords:

 Mathematical Physics;
 Mathematics  Rings and Algebras;
 Mathematics  Representation Theory;
 37K10 (Primary) 35Q53;
 17B80;
 17B69;
 37K30;
 17B63 (Secondary)
 EPrint:
 55 pages