{
  "annotation_id": "c9a980a5-6ce6-4a0c-930a-37aad946ae99",
  "date_created": "2026-03-02T18:02:51.515000Z",
  "date_modified": "2026-03-02T18:02:51.515000Z",
  "file_hash": "13b66e7046d63ca86f9775bf7c452284ca75f65a0c84fb72562874a88e0d580f",
  "private": false,
  "record": {
    "abstract": "Matrix Riccati equations and other nonlinear ordinary differential equations\nwith superposition formulas are, in the case of constant coefficients, shown to\nhave the same exact solutions as their group theoretical discretizations.\nExplicit solutions of certain classes of scalar and matrix Riccati equations\nare presented as an illustration of the general results.",
    "arxiv_id": "solv-int/9905003",
    "authors": [
      "Alexander Turbiner",
      "Pavel Winternitz"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Solutions of Non-linear Differential and Difference Equations with   Superposition Formulas",
    "url": "https://arxiv.org/abs/solv-int/9905003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2239a66a-25b0-47a8-82bc-ea951d095dc0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}