{
  "annotation_id": "02ee1d66-cefe-486d-997e-d0a9ea17e899",
  "date_created": "2026-03-02T18:02:50.628000Z",
  "date_modified": "2026-03-02T18:02:50.628000Z",
  "file_hash": "6608942202bd10163b4655037aa0c60d7f14a53bad984d6918c24c62c13bf568",
  "private": false,
  "record": {
    "abstract": "We develop an alternative systematic approach to the AKNS hierarchy based on\nelementary algebraic methods. In particular, we recursively construct Lax pairs\nfor the entire AKNS hierarchy by introducing a fundamental polynomial formalism\nand establish the basic algebro-geometric setting including associated\nBurchnall-Chaundy curves, Baker-Akhiezer functions, trace formulas,\nDubrovin-type equations for analogs of Dirichlet and Neumann divisors, and\ntheta function representations for algebro-geometric solutions.",
    "arxiv_id": "solv-int/9707009",
    "authors": [
      "Fritz Gesztesy",
      "Ratnam Ratnaseelan"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1142/S0129055X98000112",
    "title": "An Alternative Approach to Algebro-Geometric Solutions of the AKNS   Hierarchy",
    "url": "https://arxiv.org/abs/solv-int/9707009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9503a9be-03d6-48f9-904f-cf9920b6bd61",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}