{
  "id": "1405.1349",
  "version": "v1",
  "published": "2014-05-06T16:29:56.000Z",
  "updated": "2014-05-06T16:29:56.000Z",
  "title": "On integrability of some bi-Hamiltonian two field systems of PDE",
  "authors": [
    "Alberto De Sole",
    "Victor G. Kac",
    "Refik Turhan"
  ],
  "comment": "30 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RA",
    "math.RT",
    "nlin.SI"
  ],
  "abstract": "We continue the study of integrability of bi-Hamiltonian systems with a compatible pair of local Poisson structures (H_0,H_1), where H_0 is a strongly skew-adjoint operator. This is applied to the construction of some new two field integrable systems of PDE by taking the pair (H_0,H_1) in the family of compatible Poisson structures that arose in the study of cohomology of moduli spaces of curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-06T16:29:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K10",
      "35Q53",
      "17B80",
      "17B69",
      "37K30",
      "17B63"
    ],
    "keywords": [
      "field systems",
      "integrability",
      "local poisson structures",
      "bi-hamiltonian systems",
      "compatible poisson structures"
    ],
    "publication": {
      "doi": "10.1063/1.4919542",
      "journal": "Journal of Mathematical Physics",
      "year": 2015,
      "month": "May",
      "volume": 56,
      "number": 5,
      "pages": "051503"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JMP....56e1503D"
    }
  }
}