{
  "annotation_id": "6e652e69-8193-40f2-812c-106ab0490722",
  "date_created": "2026-03-02T18:02:50.900000Z",
  "date_modified": "2026-03-02T18:02:50.900000Z",
  "file_hash": "7a8b9270f23ff5f5b19e20ef3549d0dd757c65749ecdc140a3475d62d422c06f",
  "private": false,
  "record": {
    "abstract": "The vectorial extension of the Ribaucour transformation for the Lame\nequations of orthogonal conjugates nets in multidimensions is given. We show\nthat the composition of two vectorial Ribaucour transformations with\nappropriate transformation data is again a vectorial Ribaucour transformation,\nfrom which it follows the permutability of the vectorial Ribaucour\ntransformations. Finally, as an example we apply the vectorial Ribaucour\ntransformation to the Cartesian background.",
    "arxiv_id": "solv-int/9710014",
    "authors": [
      "Q. P. Liu",
      "Manuel Manas"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/10/003",
    "journal_ref": "J. Phys. A: Math. \u0026 Gen. 31 (1998) L193",
    "title": "Vectorial Ribaucour Transformations for the Lame Equations",
    "url": "https://arxiv.org/abs/solv-int/9710014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "15ef7223-63c4-450f-b835-9ef661360012",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}