{
  "id": "1312.5427",
  "version": "v1",
  "published": "2013-12-19T07:37:41.000Z",
  "updated": "2013-12-19T07:37:41.000Z",
  "title": "The Novikov-Veselov Equation: Theory and Computation",
  "authors": [
    "Ryan Croke",
    "Jennifer L Mueller",
    "Michael Music",
    "Peter Perry",
    "Samuli Siltanen",
    "Andreas Stahel"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy case. The inverse scattering method for the zero-energy NV equation is presented in the context of Manakov triples, treating initial data of conductivity type rigorously. Special closed-form solutions are presented, including multisolitons, ring solitons, and breathers. The computational inverse scattering method is used to study zero-energy exceptional points and the relationship between supercritical, critical, and subcritical potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-19T07:37:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37K15",
      "35Q51",
      "35Q53"
    ],
    "keywords": [
      "novikov-veselov equation",
      "study zero-energy exceptional points",
      "zero-energy nv equation",
      "special closed-form solutions",
      "computational inverse scattering method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.5427C"
    }
  }
}