{
  "id": "1401.6006",
  "version": "v2",
  "published": "2014-01-23T15:36:07.000Z",
  "updated": "2014-07-23T13:26:58.000Z",
  "title": "Integrability of Dirac reduced bi-Hamiltonian equations",
  "authors": [
    "Alberto De Sole",
    "Victor G. Kac",
    "Daniele Valeri"
  ],
  "comment": "15 pages. Corrected some typos and added missing equations in Section 5 for g=sl_n, n>2",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RA",
    "math.RT",
    "nlin.SI"
  ],
  "abstract": "First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability of three hierarchies of bi-Hamiltonian PDE's, obtained by Dirac reduction from some generalized Drinfeld-Sokolov hierarchies.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-23T13:26:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B69",
      "35Q53",
      "37K10",
      "37K30"
    ],
    "keywords": [
      "dirac reduced bi-hamiltonian equations",
      "integrability",
      "dirac reduction",
      "non-local bi-poisson structure",
      "lenard-magri scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.6006D"
    }
  }
}