{
  "annotation_id": "4e7d05b2-e223-487f-ad68-46d1ab60615f",
  "date_created": "2026-03-02T18:01:28.010000Z",
  "date_modified": "2026-03-02T18:01:28.010000Z",
  "file_hash": "70d08113505643ccd0f0831e937a58b84fa04c8217da68071068dcf82a280bec",
  "private": false,
  "record": {
    "abstract": "We find explicit (multisoliton) solutions for nonabelian integrable systems\nsuch as periodic Toda field equations, Langmuir equations, and Schrodinger\nequations for functions with values in any associative algebra. The solution\nfor nonabelian Toda field equations for root systems of types A, B, C was\nexpressed by the authors in a previous paper (q-alg/9701008) using\nquasideterminants introduced by the last two authors. To find multisoliton\nsolutions of periodic Toda equations and other nonabelian systems we use a\ncombination of these ideas with important lemmas which are due to Marchenko.",
    "arxiv_id": "q-alg/9707017",
    "authors": [
      "Pavel Etingof",
      "Israel Gelfand",
      "Vladimir Retakh"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA",
      "nlin.SI",
      "solv-int"
    ],
    "title": "Nonabelian Integrable Systems, Quasideterminants, and Marchenko Lemma",
    "url": "https://arxiv.org/abs/q-alg/9707017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "83db6241-7a0e-4fe5-acab-1ad08149b04b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}