{
  "annotation_id": "de363cac-677c-412d-88be-eef24a06fa0f",
  "date_created": "2026-03-02T18:02:51.567000Z",
  "date_modified": "2026-03-02T18:02:51.567000Z",
  "file_hash": "b0d9e25bf51652c5b52ce5886d9a82c6f65001217ddd7413e0f88f77cda8fb2e",
  "private": false,
  "record": {
    "abstract": "Recently I proposed a new calculation scheme of a partition function of an\nimmersion object using path integral method and theory of soliton (to appear in\nJ.Phys.A). I applied the scheme to problem of elastica in two-dimensional space\nand Willmore surface in three dimensional space. In this article, I will apply\nthe scheme to elastica in three dimensional space as a more physical model in\npolymer science. Then orbit space of the nonlinear Schrodinger and complex\nmodified Korteweg-de Vries equations can be regarded as the functional space of\nthe partition function. By investigation of the partition function, I gives a\nconjecture of the relation of these soliton equations.",
    "arxiv_id": "solv-int/9801005",
    "authors": [
      "Shigeki Matsutani"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/S0393-0440(98)00042-4",
    "title": "Statistical Mechanics of Non-stretching Elastica in Three Dimensional   Space",
    "url": "https://arxiv.org/abs/solv-int/9801005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b6cc57a9-56fc-4bc9-9bc6-948a8d9b4c52",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}