{
  "annotation_id": "fd9c23e0-3801-4b76-b5d4-bd50d9240476",
  "date_created": "2026-03-02T18:02:51.442000Z",
  "date_modified": "2026-03-02T18:02:51.442000Z",
  "file_hash": "28bccb35c570d65260dd301740db5fd2efdf3cf414914c6dfea16539c516e388",
  "private": false,
  "record": {
    "abstract": "In this letter, we consider the second Hamiltonian structure of the\nconstrained modified KP hierarchy. After mapping the Lax operator to a pure\ndifferential operator the second structure becomes the sum of the second and\nthe third Gelfand-Dickey brackets defined by this differential operator. We\nsimplify this Hamiltonian structure by factorizing the Lax operator into linear\nterms.",
    "arxiv_id": "solv-int/9707014",
    "authors": [
      "Jiin-Chang Shaw",
      "Ming-Hsien Tu"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/30/21/004",
    "journal_ref": "J. Phys. A30 (1997) L725",
    "title": "The constrained modified KP hierarchy and the generalized Miura   transformations",
    "url": "https://arxiv.org/abs/solv-int/9707014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d971bf4e-2118-4f87-bc9c-aadd9c6b8a7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}