{
  "annotation_id": "82f3d862-967c-4abc-aefc-e53c267ca933",
  "date_created": "2026-02-17T05:53:08.617000Z",
  "date_modified": "2026-02-17T05:53:08.617000Z",
  "file_hash": "7d97e1967da4d202f3a5cc631bc1329e22476d5691f925b5fd85656f17f020b4",
  "private": false,
  "record": {
    "abstract": "A third-order operator with periodic coefficients is an L-operator in the Lax pair for the Boussinesq equation on a circle. The projection of the divisor of the Floquet solution poles for this operator coincides with the spectrum of the three-point Dirichlet problem. The sign of the norming constant of the three-point problem determines the sheet of the Riemann surface on which the pole lies. We solve the inverse problem for a third-order operator with three-point Dirichlet conditions when the spectrum and norming constant are known. We construct a mapping from the set of coefficients to the set of spectral data and prove that this mapping is an analytic bijection in the neighborhood of zero.",
    "arxiv_id": "2601.06683",
    "authors": [
      "Andrey Badanin",
      "Evgeny Korotyaev"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "title": "Inverse problem for the divisor of the good Boussinesq equation",
    "url": "https://arxiv.org/abs/2601.06683",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a943ccde-3a57-4d77-9d46-96f0fe449c07",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}