| dc.contributor.author | De Sole, Alberto | |
| dc.contributor.author | Kac, Victor | |
| dc.date.accessioned | 2015-01-15T20:52:33Z | |
| dc.date.available | 2015-01-15T20:52:33Z | |
| dc.date.issued | 2013-09 | |
| dc.date.submitted | 2013-02 | |
| dc.identifier.issn | 0289-2316 | |
| dc.identifier.issn | 1861-3624 | |
| dc.identifier.uri | http://hdl.handle.net/1721.1/92916 | |
| dc.description.abstract | We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applicability of the Lenard–Magri scheme of integrability to a pair of compatible non-local Poisson structures. We apply this scheme to several such pairs, proving thereby integrability of various evolution equations, as well as hyperbolic equations. | en_US |
| dc.description.sponsorship | National Science Foundation (U.S.) | en_US |
| dc.description.sponsorship | Simons Foundation | en_US |
| dc.language.iso | en_US | |
| dc.publisher | Springer-Verlag | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s11537-013-1306-z | en_US |
| dc.rights | Creative Commons Attribution-Noncommercial-Share Alike | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | en_US |
| dc.source | arXiv | en_US |
| dc.title | Non-local Poisson structures and applications to the theory of integrable systems | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | De Sole, Alberto, and Victor G. Kac. “Non-Local Poisson Structures and Applications to the Theory of Integrable Systems.” Japanese Journal of Mathematics 8, no. 2 (September 2013): 233–347. | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.contributor.mitauthor | Kac, Victor | en_US |
| dc.relation.journal | Japanese Journal of Mathematics | en_US |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dspace.orderedauthors | De Sole, Alberto; Kac, Victor G. | en_US |
| dc.identifier.orcid | https://orcid.org/0000-0002-2860-7811 | |
| mit.license | OPEN_ACCESS_POLICY | en_US |
| mit.metadata.status | Complete | |
