{
  "id": "1903.08204",
  "version": "v1",
  "published": "2019-03-19T18:25:53.000Z",
  "updated": "2019-03-19T18:25:53.000Z",
  "title": "Three computational approaches to weakly nonlocal Poisson brackets",
  "authors": [
    "M. Casati",
    "P. Lorenzoni",
    "R. Vitolo"
  ],
  "comment": "47 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We compare three different ways of checking the Jacobi identity for weakly nonlocal Poisson brackets using the theory of distributions, of pseudodifferential operators and of Poisson vertex algebras, respectively. We show that the three approaches lead to similar computations and same results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-19T18:25:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K05",
      "35S05"
    ],
    "keywords": [
      "weakly nonlocal poisson brackets",
      "computational approaches",
      "poisson vertex algebras",
      "jacobi identity",
      "pseudodifferential operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}