{
  "annotation_id": "b3fe92fd-c5a2-4f09-8623-25372702c0a6",
  "date_created": "2026-03-02T18:02:50.887000Z",
  "date_modified": "2026-03-02T18:02:50.887000Z",
  "file_hash": "288b22db4eee8b3c0869f964c85e0b6bdfdd1703a62dd1c9bcd1206350c8298d",
  "private": false,
  "record": {
    "abstract": "It is shown that a class of important integrable nonlinear evolution\nequations in (2+1) dimensions can be associated with the motion of space curves\nendowed with an extra spatial variable or equivalently, moving surfaces.\nGeometrical invariants then define topological conserved quantities. Underlying\nevolution equations are shown to be associated with a triad of linear\nequations. Our examples include Ishimori equation and Myrzakulov equations\nwhich are shown to be geometrically equivalent to Davey-Stewartson and Zakharov\n-Strachan (2+1) dimensional nonlinear Schr\\\"odinger equations respectively.",
    "arxiv_id": "solv-int/9709009",
    "authors": [
      "M. Lakshmanan",
      "R. Myrzakulov",
      "S. Vijayalakshmi",
      "A. K. Danlybaeva"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532466",
    "journal_ref": "J. Math. Phys. 39 , N7, 3765 (1998)",
    "title": "Motion of Curves and Surfaces and Nonlinear Evolution Equations in (2+1)   Dimensions",
    "url": "https://arxiv.org/abs/solv-int/9709009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3648d7d5-e8ab-46ed-af80-55e792dcb8b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}