{
  "annotation_id": "f25fd25d-d10d-4811-aa53-9533b51a00b7",
  "date_created": "2026-03-02T18:02:51.216000Z",
  "date_modified": "2026-03-02T18:02:51.216000Z",
  "file_hash": "dce5b1c1961b567ce5b111ec31601ac10d46dec76e41f8175f784e4627f91d14",
  "private": false,
  "record": {
    "abstract": "The algebraic matrix hierarchy approach based on affine Lie $sl (n)$ algebras\nleads to a variety of 1+1 soliton equations. By varying the rank of the\nunderlying $sl (n)$ algebra as well as its gradation in the affine setting, one\nencompasses the set of the soliton equations of the constrained KP hierarchy.\nThe soliton solutions are then obtained as elements of the orbits of the\ndressing transformations constructed in terms of representations of the vertex\noperators of the affine $sl (n)$ algebras realized in the unconventional\ngradations. Such soliton solutions exhibit non-trivial dependence on the KdV\n(odd) time flows and KP (odd and even) time flows which distinguishes them from\nthe conventional structure of the Darboux-B\\\"{a}cklund Wronskian solutions of\nthe constrained KP hierarchy.",
    "arxiv_id": "solv-int/9709004",
    "authors": [
      "H. Aratyn",
      "L. A. Ferreira",
      "J. F. Gomes",
      "A. H. Zimerman"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/31/47/009",
    "title": "Solitons from Dressing in an Algebraic Approach to the Constrained KP   Hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9709004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8906fdd5-a28a-4a1f-8a6b-bb5bff7b2b3f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}