{
  "id": "2207.11495",
  "version": "v2",
  "published": "2022-07-23T11:38:48.000Z",
  "updated": "2022-09-20T01:57:34.000Z",
  "title": "Boutroux ansatz for the degenerate third Painlevé transcendents",
  "authors": [
    "Shun Shimomura"
  ],
  "comment": "39 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "For a general solution of the degenerate third Painlev\\'e equation we show the Boutroux ansatz near the point at infinity. It admits an asymptotic representation in terms of the Weierstrass pe-function in cheese-like strips along generic directions. The expression is obtained by using isomonodromy deformation of a linear system governed by the degenerate third Painlev\\'e equation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-09-20T01:57:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M55",
      "34M56",
      "34M40",
      "34M60",
      "33E05"
    ],
    "keywords": [
      "boutroux ansatz",
      "degenerate third painleve equation",
      "transcendents",
      "general solution",
      "asymptotic representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}