{
  "annotation_id": "a742cdd0-372a-4ea2-aff5-9da116f43bf2",
  "date_created": "2026-03-02T18:02:50.968000Z",
  "date_modified": "2026-03-02T18:02:50.968000Z",
  "file_hash": "73a4d9cc5cb76034e6caa7a9b560666d2e2f82065145742794852bea88e56594",
  "private": false,
  "record": {
    "abstract": "Generalization of the modified KdV equation to a multi-component system, that\nis expressed by $(\\partial u_i)/(\\partial t) + 6 (\\sum_{j,k=0}^{M-1} C_{jk} u_j\nu_k) (\\partial u_i)/(\\partial x) + (\\partial^3 u_{i})/(\\partial x^3) = 0, i=0,\n1, ..., M-1 $, is studied. We apply a new extended version of the inverse\nscattering method to this system. It is shown that this system has an infinite\nnumber of conservation laws and multi-soliton solutions. Further, the initial\nvalue problem of the model is solved.",
    "arxiv_id": "solv-int/9812003",
    "authors": [
      "T. Tsuchida",
      "M. Wadati"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1143/JPSJ.67.1175",
    "journal_ref": "J. Phys. Soc. Jpn. 67 (1998) 1175-1187",
    "title": "The Coupled Modified Korteweg-de Vries Equations",
    "url": "https://arxiv.org/abs/solv-int/9812003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "02b9134e-c1cd-4dfe-8364-d51ae788fb78",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}