{
  "annotation_id": "07213f41-52f6-4dea-9193-a793e8e8b47f",
  "date_created": "2026-03-02T18:02:50.572000Z",
  "date_modified": "2026-03-02T18:02:50.572000Z",
  "file_hash": "4b2708851c7d6b75a508749729e88b522f0d26dd97b0ff5e4fbcf19ed1677537",
  "private": false,
  "record": {
    "abstract": "The problem of construction of the boundary conditions for the Toda lattice\ncompatible with its higher symmetries is considered. It is demonstrated that\nthis problem is reduced to finding of the differential constraints consistent\nwith the ZS-AKNS hierarchy. A method of their construction is offered based on\nthe B\\\"acklund transformations. It is shown that the generalized Toda lattices\ncorresponding to the non-exceptional Lie algebras of finite growth can be\nobtained by imposing one of the four simplest integrable boundary conditions on\nthe both ends of the lattice. This fact allows, in particular, to solve the\nproblem of reduction of the series $A$ Toda lattices into the series $D$ ones.\nDeformations of the found boundary conditions are presented which leads to the\nPainlev\\\u0027e type equations.\n  Key words: Toda lattice, boundary conditions, integrability, B\\\"acklund\ntransformation, Lie algebras, Painlev\\\u0027e equations",
    "arxiv_id": "solv-int/9505003",
    "authors": [
      "V. E. Adler",
      "I. T. Habibullin"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1088/0305-4470/28/23/021",
    "title": "Integrable boundary conditions for the Toda lattice",
    "url": "https://arxiv.org/abs/solv-int/9505003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e93900b4-b5c0-45ab-a9ad-bcdeb0676b9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}