{
  "annotation_id": "53861e30-4ecb-4fbf-9968-bdeb7540f91c",
  "date_created": "2026-03-02T18:02:51.295000Z",
  "date_modified": "2026-03-02T18:02:51.295000Z",
  "file_hash": "bf82d134f729f320a7b72a87a0a41a2991c5c2c4b1456a5d6d3d46a1d2cc16b8",
  "private": false,
  "record": {
    "abstract": "We show that any multi-component matrix KP hierarchy is equivalent to the\nstandard one-component (scalar) KP hierarchy endowed with a special infinite\nset of abelian additional symmetries, generated by squared eigenfunction\npotentials. This allows to employ a special version of the familiar\nDarboux-B\"acklund transformation techniques within the ordinary scalar KP\nhierarchy in the Sato formulation for a systematic derivation of explicit\nmultiple-Wronskian tau-function solutions of all multi-component matrix KP\nhierarchies.",
    "arxiv_id": "solv-int/9904024",
    "authors": [
      "Henrik Aratyn",
      "Emil Nissimov",
      "Svetlana Pacheva"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Multi-Component Matrix KP Hierarchies as Symmetry-Enhanced Scalar KP   Hierarchies and Their Darboux-B\"acklund Solutions",
    "url": "https://arxiv.org/abs/solv-int/9904024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4e3018d9-259c-4135-bc22-057a2213460b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}