{
  "annotation_id": "338649d0-9a28-423e-9ddd-c35f2ae21af2",
  "date_created": "2026-03-02T18:02:50.691000Z",
  "date_modified": "2026-03-02T18:02:50.691000Z",
  "file_hash": "acc68e8e246a0839e7fc9823258354c05026cb3545c53783f62c2d5e0346bd53",
  "private": false,
  "record": {
    "abstract": "We give explicitly N-soliton solutions of a new (2 + 1) dimensional equation,\n$\\phi_{xt} + \\phi_{xxxz}/4 + \\phi_x \\phi_{xz} + \\phi_{xx} \\phi_z/2 +\n\\partial_x^{-1} \\phi_{zzz}/4 = 0$. This equation is obtained by unifying two\ndirectional generalization of the KdV equation, composing the closed ring with\nthe KP equation and Bogoyavlenskii-Schiff equation. We also find the Miura\ntransformation which yields the same ring in the corresponding modified\nequations.",
    "arxiv_id": "solv-int/9803012",
    "authors": [
      "S. J. Yu",
      "K. Toda",
      "T. Fukuyama"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/50/013",
    "title": "N-Soliton Solutions to a New (2 + 1) Dimensional Integrable Equation",
    "url": "https://arxiv.org/abs/solv-int/9803012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "89805621-dee8-470a-aa8b-e5d188c6d7fb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}