{
  "id": "math-ph/0207024",
  "version": "v1",
  "published": "2002-07-18T17:38:51.000Z",
  "updated": "2002-07-18T17:38:51.000Z",
  "title": "Nonlinear representations for Poincare and Galilei algebras and nonlinear equations for electromagnetic fields",
  "authors": [
    "Wilhelm I. Fushchych",
    "Ivan M. Tsyfra",
    "Vyacheslav M. Boyko"
  ],
  "comment": "LaTeX, 10 pages, some misprints of published version corrected",
  "journal": "J.Nonlin.Math.Phys. 2 (1994) 210-221",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT",
    "nlin.SI",
    "quant-ph"
  ],
  "abstract": "We construct nonlinear representations of the Poincare, Galilei, and conformal algebras on a set of the vector-functions $\\Psi =(\\vec E, \\vec H)$. A nonlinear complex equation of Euler type for the electromagnetic field is proposed. The invariance algebra of this equation is found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-07-18T17:38:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81R05",
      "20C35",
      "22E70",
      "35A30",
      "58J70",
      "78A25"
    ],
    "keywords": [
      "electromagnetic field",
      "galilei algebras",
      "nonlinear equations",
      "nonlinear complex equation",
      "construct nonlinear representations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.2991/jnmp.1994.1.2.7"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 390173,
      "adsabs": "2002math.ph...7024F"
    }
  }
}