{
  "id": "math-ph/0412047",
  "version": "v1",
  "published": "2004-12-14T21:47:01.000Z",
  "updated": "2004-12-14T21:47:01.000Z",
  "title": "Lax pairs for the Ablowitz-Ladik system via orthogonal polynomials on the unit circle",
  "authors": [
    "Irina Nenciu"
  ],
  "comment": "38 pages",
  "categories": [
    "math-ph",
    "math.CA",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "Nenciu and Simon found that the analogue of the Toda system in the context of orthogonal polynomials on the unit circle is the defocusing Ablowitz-Ladik system. In this paper we use the CMV and extended CMV matrices, respectively, to construct Lax pair representations for this system in the periodic, finite, and infinite cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-14T21:47:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unit circle",
      "orthogonal polynomials",
      "construct lax pair representations",
      "defocusing ablowitz-ladik system",
      "infinite cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.ph..12047N"
    }
  }
}