{
  "annotation_id": "cf7996f2-7589-4ef7-b757-7277ec7c5ada",
  "date_created": "2026-03-02T18:02:51.210000Z",
  "date_modified": "2026-03-02T18:02:51.210000Z",
  "file_hash": "74fe3a5b8b790b2d743b981ea688af592397d5426bc424ef8af162189fe6f2e8",
  "private": false,
  "record": {
    "abstract": "We give an elementary introduction to Hirota\u0027s direct method of constructing\nmultisoliton solutions to integrable nonlinear evolution equations. We discuss\nin detail how this works for equations in the Korteweg-de Vries class. We also\nshow how Hirota\u0027s method can be used to search for new integrable evolution\nequations by testing for the existence of 3- and 4-soliton solutions, and list\nthe results that have been obtained this way for the KdV, mKdV/sG and nlS\nclasses of equations.",
    "arxiv_id": "solv-int/9708006",
    "authors": [
      "J. Hietarinta"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1007/BFb0113694",
    "title": "Introduction to the Hirota bilinear method",
    "url": "https://arxiv.org/abs/solv-int/9708006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3563acff-5673-48ff-9e1e-316269de06c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}