{
  "id": "0907.0266",
  "version": "v3",
  "published": "2009-07-02T16:03:49.000Z",
  "updated": "2009-11-15T22:06:53.000Z",
  "title": "Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair",
  "authors": [
    "Paul Bracken"
  ],
  "comment": "8 pages",
  "journal": "Phys.Lett.A374:501-503,2010",
  "doi": "10.1016/j.physleta.2009.11.042",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "It is shown how a system of evolution equations can be developed both from the structure equations of a submanifold embedded in three-space as well as from a matrix SO(6) Lax pair. The two systems obtained this way correspond exactly when a constraint equation is selected and imposed on the system of equations. This allows the coefficients of the second fundamental form to be selected in a more general way so they need not be constants.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-11-15T22:06:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44",
      "58A10"
    ],
    "keywords": [
      "partial differential equations",
      "lax pair",
      "structure equations",
      "integrable systems",
      "second fundamental form"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics Letters A",
      "year": 2010,
      "month": "Jan",
      "volume": 374,
      "number": 4,
      "pages": 501
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 844454,
      "adsabs": "2010PhLA..374..501B"
    }
  }
}