{
  "annotation_id": "0a986efb-66a7-41af-a6de-1db233a928a1",
  "date_created": "2026-03-02T18:02:51.562000Z",
  "date_modified": "2026-03-02T18:02:51.562000Z",
  "file_hash": "91f9dfc1832ed284773ecc97ce99f84dc2a2296cc7556956e226c491c0105a79",
  "private": false,
  "record": {
    "abstract": "Affine Toda equations based on simple Lie algebras arise by imposing zero\ncurvature condition on a Lax connection which belongs to the corresponding loop\nLie algebra in the principal gradation. In the particular case of $A_n^{(1)}$\n  Toda models, we exploit the symmetry of the underlying linear problem to\ncalculate the dressing group element which generates arbitrary $N$-soliton\nsolution from the vacuum. Starting from this result we recover the vertex\noperator representation of the soliton tau functions.",
    "arxiv_id": "solv-int/9808001",
    "authors": [
      "H. Belich",
      "R. Paunov"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "nlin.SI"
    ],
    "title": "$A_n^{(1)}$ Toda Solitons: a Relation between Dressing transformations   and Vertex Operators",
    "url": "https://arxiv.org/abs/solv-int/9808001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1d1d71ba-5ce6-4ce7-be38-4bf129e1e3e8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}