{
  "id": "1210.1688",
  "version": "v1",
  "published": "2012-10-05T09:42:16.000Z",
  "updated": "2012-10-05T09:42:16.000Z",
  "title": "Non-local Hamiltonian structures and applications to the theory of integrable systems I",
  "authors": [
    "Alberto De Sole",
    "Victor G. Kac"
  ],
  "comment": "55 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RA",
    "math.RT"
  ],
  "abstract": "We develop a rigorous theory of non-local Hamiltonian 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 Hamiltonian structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-05T09:42:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K10",
      "35Q53",
      "17B80",
      "17B69",
      "37K30",
      "17B63"
    ],
    "keywords": [
      "integrable systems",
      "application",
      "non-local poisson vertex algebra",
      "compatible non-local hamiltonian structures",
      "lenard-magri scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.1688D"
    }
  }
}