{
  "abstract": "To test the potential of so-called quantum physics-informed neural network (QPINN) technology for solving evolutionary partial differential equations, we consider the problem of multiple wave propagation in a weakly nonlinear medium described by the Korteweg-de Vries equation with periodic boundary conditions. Although this problem is solvable analytically, high-genus solutions could represent a rather challenging testbed for numerical methods. Therefore, our idea is to test whether a QPINN is sufficiently mature for application in this context by providing a set of indicators of merit and performing several numerical experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29894",
  "author_total": 3,
  "authors": [
    {
      "name": "Luigi Martina"
    },
    {
      "name": "Riccardo Caricato"
    },
    {
      "name": "Riccardo Della Torre"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/86ayyn58cf5gy.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29894",
  "fulltext_url": null,
  "id": "86ayyn58cf5gy",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29894",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3109|Model Reduction and Neural Networks"
    ]
  ],
  "openalex": "W7204944118",
  "pdf_url": "https://arxiv.org/pdf/2608.29894",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/86ayyn58cf5gy.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29894",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29894"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Multiple Nonlinear Waves by (Quantum) Neural Networks: Checking the AI supremacy",
  "title_text": "Multiple Nonlinear Waves by (Quantum) Neural Networks: Checking the AI supremacy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/86ayyn58cf5gy",
  "venue": "arXiv",
  "versions": []
}