{
  "id": "1104.0362",
  "version": "v2",
  "published": "2011-04-03T07:08:12.000Z",
  "updated": "2011-06-30T07:05:33.000Z",
  "title": "Complex solutions of Monge-Ampère equations",
  "authors": [
    "Bertrand Banos"
  ],
  "comment": "16 pages, 5 tables To appear in Journal of Geometry and Physics",
  "categories": [
    "math.DG",
    "math-ph",
    "math.AP",
    "math.CV",
    "math.MP"
  ],
  "abstract": "We describe a method to reduce partial differential equations of Monge-Amp\\`ere type in 4 variables to complex partial differential equations in 2 variables. To illustrate this method, we construct explicit holomorphic solutions of the special lagrangian equation, the real Monge-Amp\\`ere equations and the Plebanski equations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-30T07:05:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monge-ampère equations",
      "complex solutions",
      "construct explicit holomorphic solutions",
      "complex partial differential equations",
      "reduce partial differential equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.geomphys.2011.06.019",
      "journal": "Journal of Geometry and Physics",
      "year": 2011,
      "month": "Nov",
      "volume": 61,
      "number": 11,
      "pages": 2187
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JGP....61.2187B"
    }
  }
}