{
  "annotation_id": "62f81fc0-a78d-4fe9-9de8-b8056b01ba69",
  "date_created": "2026-03-02T18:02:50.692000Z",
  "date_modified": "2026-03-02T18:02:50.692000Z",
  "file_hash": "92efff95cabf7c798ef924435be2336d039c3fbc44038b59845fe6c2d236405a",
  "private": false,
  "record": {
    "abstract": "Using a moving space curve formalism, geometrical as well as gauge\nequivalence between a (2+1) dimensional spin equation (M-I equation) and the\n(2+1) dimensional nonlinear Schr\\\"odinger equation (NLSE) originally discovered\nby Calogero, discussed then by Zakharov and recently rederived by Strachan,\nhave been estabilished. A compatible set of three linear equations are obtained\nand integrals of motion are discussed. Through stereographic projection, the\nM-I equation has been bilinearized and different types of solutions such as\nline and curved solitons, breaking solitons, induced dromions, and domain wall\ntype solutions are presented. Breaking soliton solutions of (2+1) dimensional\nNLSE have also been reported. Generalizations of the above spin equation are\ndiscussed.",
    "arxiv_id": "solv-int/9803011",
    "authors": [
      "R. Myrzakulov",
      "S. Vijayalakshmi",
      "R. N. Syzdykova",
      "M. Lakshmanan"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1063/1.532279",
    "journal_ref": "J. Math. Phys. vol.39 (1998) 2122-2140",
    "title": "On the simplest (2+1) dimensional integrable spin systems and their   equivalent nonlinear Schr\\\"odinger equations",
    "url": "https://arxiv.org/abs/solv-int/9803011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3b1e1f34-c75e-4336-b2b5-8ee5ef7d16bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}