{
  "annotation_id": "254ff127-95dd-4798-9027-22d2d7cd5941",
  "date_created": "2026-03-02T18:02:51.346000Z",
  "date_modified": "2026-03-02T18:02:51.346000Z",
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  "record": {
    "abstract": "The dispersionless KP and Toda hierarchies possess an underlying twistorial\nstructure. A twistorial approach is partly implemented by the method of\nRiemann-Hilbert problem. This is however still short of clarifying geometric\ningredients of twistor theory, such as twistor lines and twistor surfaces. A\nmore geometric approach can be developed in a Hamilton-Jacobi formalism of\nGibbons and Kodama. AMS Subject Classifiation (1991): 35Q20, 58F07,70H99",
    "arxiv_id": "solv-int/9705013",
    "authors": [
      "Partha Guha",
      "Kanehisa Takasaki"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1016/S0393-0440(97)00034-X",
    "journal_ref": "J. Geom. Phys. 25 (3-4) (1998), 326-340",
    "title": "Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor   Correspondences",
    "url": "https://arxiv.org/abs/solv-int/9705013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "93776e30-2f31-49df-acb2-64a425b0073e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}