{
  "id": "math-ph/0207008",
  "version": "v1",
  "published": "2002-07-03T21:54:46.000Z",
  "updated": "2002-07-03T21:54:46.000Z",
  "title": "Extra Dimensions and Nonlinear Equations",
  "authors": [
    "Thomas Curtright",
    "David Fairlie"
  ],
  "comment": "Scientific Workplace LATEX",
  "journal": "J.Math.Phys. 44 (2003) 2692-2703",
  "doi": "10.1063/1.1543227",
  "categories": [
    "math-ph",
    "hep-th",
    "math.AP",
    "math.MP",
    "physics.flu-dyn"
  ],
  "abstract": "Solutions of nonlinear multi-component Euler-Monge partial differential equations are constructed in n spatial dimensions by dimension-doubling, a method that completely linearizes the problem. Nonlocal structures are an essential feature of the method. The Euler-Monge equations may be interpreted as a boundary theory arising from a linearized bulk system such that all boundary solutions follow from simple limits of those for the bulk.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-03T21:54:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76D99",
      "02.30.Hq",
      "02.30.Jr"
    ],
    "keywords": [
      "nonlinear equations",
      "extra dimensions",
      "nonlinear multi-component euler-monge partial differential",
      "multi-component euler-monge partial differential equations",
      "simple limits"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2003,
      "month": "Jun",
      "volume": 44,
      "number": 6,
      "pages": 2692
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 589886,
      "adsabs": "2003JMP....44.2692C"
    }
  }
}