{
  "annotation_id": "7920a8b6-8402-42c2-8364-a3aa42806582",
  "date_created": "2026-03-02T18:01:20.995000Z",
  "date_modified": "2026-03-02T18:01:20.995000Z",
  "file_hash": "5f61119372b18abd5ca0918839b3e0095545483c95a03b7b274b62e69b2c71ec",
  "private": false,
  "record": {
    "abstract": "We consider the nonstandard constrained KP (ncKP) hierarchy which is obtained\nfrom the multi-constraint KP hierarchy by gauge transformation. The second\nHamiltonian structure of the ncKP hierarchy can be simplified by factorizing\nthe Lax operator into multiplication form, thus the generalized Miura\ntransformation is obtained. We also discuss the free field realization of the\nassociated W-algebra.",
    "arxiv_id": "physics/9707023",
    "authors": [
      "Ming-Hsien Tu"
    ],
    "categories": [
      "math-ph",
      "math.MP",
      "nlin.SI",
      "solv-int"
    ],
    "title": "The nonstandard constrained KP hierarchy and the generalized Miura   transformations",
    "url": "https://arxiv.org/abs/physics/9707023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7969aea6-70b5-4b6f-b468-9572cc8f61e7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}