{
  "annotation_id": "2c14cf06-67bf-416b-8a04-856ec1f495bb",
  "date_created": "2026-03-02T18:02:50.962000Z",
  "date_modified": "2026-03-02T18:02:50.962000Z",
  "file_hash": "be0fe872a71e390fd153d6dabcfa78572dda40c19e56ded11f769d6600dcf682",
  "private": false,
  "record": {
    "abstract": "A certain generalisation of the hierarchy of mKdV equations (modified KdV),\nwhich forms an integrable system, is studied here. This generalisation is based\non a Lax operator associated to the equations, with principal components of\ndegrees between -3 and 0. The results are the following ones: 1) an isomorphism\nbetween the space of jets of the system and a quotient of ${Sl}_2({\\CC}((t)))$;\n2) the fact that the monodromy matrixes of the Lax operators have, morover,\nPoisson brackets given by the trigonometric r-matrix; 3) a definition of the\naction of screening operators on the densities; 4) an identification of the\nintersection of the kernel with the integrals of motion.",
    "arxiv_id": "solv-int/9809011",
    "authors": [
      "A. Balan"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "The Generalised mKdV Equations for Level -3 of $\\hat{sl}_2$",
    "url": "https://arxiv.org/abs/solv-int/9809011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a291ccc-aacc-44c4-9791-4b40f1fac76d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}