{
  "annotation_id": "4f0d4c37-b2c4-4b45-8092-c97fef5f0593",
  "date_created": "2026-03-02T18:02:51.357000Z",
  "date_modified": "2026-03-02T18:02:51.357000Z",
  "file_hash": "c183f509cc3142e70f2ede4a2230afcee597ebb9b220a054404faff59212e491",
  "private": false,
  "record": {
    "abstract": "We find time discretizations for the two \u0027\u0027second flows\u0027\u0027 of the\nAblowitz-Ladik hierachy. These discretizations are described by local equations\nof motion, as opposed to the previously known ones, due to Taha and Ablowitz.\nCertain superpositions of our maps allow a one-field reduction and serve\ntherefore as valid space-time discretizations of the modified Korteweg-de Vries\nequation. We expect the performance of these discretizations to be much better\nthen that of the Taha-Ablowitz scheme. The way of finding interpolating\nHamiltonians for our maps is also indicated, as well as the solution of an\ninitial value problem in terms of matrix factorizations.",
    "arxiv_id": "solv-int/9702003",
    "authors": [
      "Yuri B. Suris"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0375-9601(97)00592-6",
    "journal_ref": "Phys. Lett. A, 1997, V.234, p. 91-102.",
    "title": "On an integrable discretization of the modified Korteweg-de Vries   equation",
    "url": "https://arxiv.org/abs/solv-int/9702003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0679f0d6-f095-49b2-a806-09a50b796bd7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}