{
  "annotation_id": "e1b34f1d-6710-42dc-b723-74257b8c9d41",
  "date_created": "2026-03-02T18:02:50.901000Z",
  "date_modified": "2026-03-02T18:02:50.901000Z",
  "file_hash": "cde05c5d14cbbde36b66377ca65506ccb442d499a09fe90ac6fbec4bf7bee884",
  "private": false,
  "record": {
    "abstract": "Surfaces of revolution in three-dimensional Euclidean space are considered.\nSeveral new examples of surfaces of revolution associated with well-known\nsolvable cases of the Schoedinger equation (infinite well, harmonic oscillator,\nCoulomb potential, Bargmann potential, etc.) are analyzed and visualized. The\nproperties of such surfaces are discussed. Two types of deformations\n(evolutions), namely 1) preserving the Gaussian curvature and 2) via the\ndynamics of the Korteweg-de-Vries equation are discussed.",
    "arxiv_id": "solv-int/9710027",
    "authors": [
      "R. Beutler",
      "B. G. Konopelchenko"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "title": "Surfaces of Revolution via the Schroedinger Equation : Construction,   Integrable Dynamics and Visualization",
    "url": "https://arxiv.org/abs/solv-int/9710027"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8bce0e27-b961-4ef0-b693-638b35cd80b8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}