{
  "abstract": "An extension with temporal modulation is presented of the canonical 2 + 1-dimensional solitonic Dym equation as originally introduced by Konopelchenko and Dubrovsky. Application is made of admitted Painleve' II symmetry reduction to derive exact solution to a class of associated 2 + 1-dimensional nonlinear moving boundary problems of generalized Stefan-type.",
  "abstract_shown": true,
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  "article_type": null,
  "arxiv": "2610.02927",
  "author_total": 2,
  "authors": [
    {
      "name": "Colin Rogers"
    },
    {
      "name": "Sandra Carillo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7n4pkhsbf7xrt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02927",
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  "id": "7n4pkhsbf7xrt",
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  "landing_url": "https://arxiv.org/abs/2610.02927",
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      "math-ph"
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      "3109|Nonlinear Waves and Solitons"
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  "openalex": "W7220407445",
  "pdf_url": "https://arxiv.org/pdf/2610.02927",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7n4pkhsbf7xrt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:45Z",
      "native_id": "2610.02927",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02927"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
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    {
      "field": "physics",
      "origin": "arxiv:nlin.SI",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction",
  "title_text": "A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/7n4pkhsbf7xrt",
  "venue": "arXiv",
  "versions": []
}