{
  "annotation_id": "e42da677-8f1f-4267-95a8-d5a7b79a9d66",
  "date_created": "2026-03-02T18:02:51.345000Z",
  "date_modified": "2026-03-02T18:02:51.345000Z",
  "file_hash": "8d160138d018ea3eee1f2381b20380e4b84ef46022c58763121360b4b6f7ac04",
  "private": false,
  "record": {
    "abstract": "The usual superposition formulas for Baecklund transformations of\n(2+1)-dimensional integrable systems include quadratures unlike the well known\ncase of (1+1)-dimensional inegrable systems where the fourth solution is found\nwith algebraic operations. In the present paper we show how in the case of\n(2+1)-dimensional integrable systems one can find an extended formula of\nnonlinear superposition such that the resulting solution will be found uniquely\nfrom the given previous solution with algebraic operations.",
    "arxiv_id": "solv-int/9606003",
    "authors": [
      "E. T. Ganzha",
      "S. P. Tsarev"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "On superposition of the autoBaecklund transformations for   (2+1)-dimensional integrable systems",
    "url": "https://arxiv.org/abs/solv-int/9606003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca6e4197-52a4-434c-bb41-3fd619163c5b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}