{
  "id": "1801.02845",
  "version": "v1",
  "published": "2018-01-09T09:15:59.000Z",
  "updated": "2018-01-09T09:15:59.000Z",
  "title": "Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions",
  "authors": [
    "Victor Kac",
    "Johan van de Leur"
  ],
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "math.RT",
    "nlin.SI"
  ],
  "abstract": "We give 4 formulations of the Modified KP hierarchy and show that they are equivalent. We also discuss the reductions of the MKP hierarchy to the modified $n$-KdV hierarchies. As a byproduct, we find an astonishingly simple explicit description of all polynomial tau-functions of the KP, the MKP and the $n$-KdV hierarchies, and (implicitly) also for the modified $n$-KdV hierarchy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-09T09:15:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mkp hierarchy",
      "polynomial tau-functions",
      "kdv hierarchy",
      "formulations",
      "equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}