{
  "abstract": "Following classical method of differential constraints, interpreted in jet space, we present a constructive procedure for the integration of partial differential equations (PDEs). The approach consists of adjoining compatible auxiliary equations to reduce the PDE to a finitetype system in which the Vessiot distribution becomes involutive on an open set. Rather than classical solvable structures, we employ C∞-structures of distributions, a generalization with relaxed bracket conditions that are systematically easier to construct, yet still guarantee integration through successive Pfaffian equations. Three explicit examples illustrate the method: the linear wave equation with affine constraints, the Liouville equation, and a non-trivial rational nonlinear PDE. In every case the procedure yields an explicit family of solutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "A J Pan-Collantes"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fbz0h434gas1g.bib",
  "cited_by": 0,
  "doi": "10.46298/ocnmp.18587",
  "fulltext_url": null,
  "id": "fbz0h434gas1g",
  "issns": [
    "2802-9356"
  ],
  "landing_url": "https://hal.science/hal-05665940v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ap"
    ],
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      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7165985626",
  "pdf_url": "https://hal.science/hal-05665940/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-22",
  "publisher": "International Society of Nonlinear Mathematical Physics",
  "ris": "https://research.draconitic.com/paper/fbz0h434gas1g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:55Z",
      "native_id": "hal-05665940",
      "source": "hal",
      "url": "https://hal.science/hal-05665940v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ap",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Integration of PDEs via C∞-structures",
  "title_text": "Integration of PDEs via C∞-structures",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:55Z",
  "url": "https://research.draconitic.com/paper/fbz0h434gas1g",
  "venue": "Open Communications in Nonlinear Mathematical Physics",
  "versions": []
}