{
  "id": "2403.07537",
  "version": "v1",
  "published": "2024-03-12T11:20:50.000Z",
  "updated": "2024-03-12T11:20:50.000Z",
  "title": "Vortices and Factorization",
  "authors": [
    "Igor Loutsenko",
    "Oksana Yermolayeva"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI",
    "physics.flu-dyn"
  ],
  "abstract": "We review applications of factorization methods to the problem of finding stationary point vortex patterns in two-dimensional fluid mechanics. Then we present a new class of patterns related to periodic analogs of Schrodinger operators from the ``even\" bi-spectral family. We also show that patterns related to rational and soliton solutions of the KdV hierarchy constitute complete solution of the problem for certain classes of vortex systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-12T11:20:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "factorization",
      "kdv hierarchy constitute complete solution",
      "finding stationary point vortex patterns",
      "two-dimensional fluid mechanics",
      "review applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}