{
  "id": "1505.07094",
  "version": "v1",
  "published": "2015-05-26T19:48:26.000Z",
  "updated": "2015-05-26T19:48:26.000Z",
  "title": "The Maxwell equations as a Bäcklund transformation",
  "authors": [
    "C. J. Papachristou"
  ],
  "comment": "13 pages. arXiv admin note: text overlap with arXiv:0803.3688",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "B\\\"acklund transformations (BTs) are a useful tool for integrating partial differential equations (PDEs), especially nonlinear ones. However, their significance in linear problems should not be underestimated. In fact, an important linear system of PDEs in Physics, namely, the Maxwell equations of Electromagnetism, constitutes a BT, as explained in this article. This BT relates solutions of the wave equations for the electric and the magnetic field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-26T19:48:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "maxwell equations",
      "bäcklund transformation",
      "integrating partial differential equations",
      "bt relates solutions",
      "important linear system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150507094P"
    }
  }
}