{
  "abstract": "We reconstruct the pairwise interaction potential between dissipative Kerr solitons from the linear stability spectrum of a perfect soliton crystal solution of the Lugiato--Lefever equation. The solitons form an overdamped lattice whose positional eigenvalues encode the pairwise-force derivative, mirroring the extraction of microscopic interactions from phonon or relaxation spectra in condensed-matter systems. The method extends beyond quadratic dispersion and assumes no functional form for the interaction. Our theory predicts a novel state -the soft soliton crystal- which has vanishing stiffness and a diverging positional relaxation time, and also explains experimentally observed soliton steps as arising from a sign reversal of the pairwise-force derivative.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12269",
  "author_total": 5,
  "authors": [
    {
      "name": "Carlo Silvestri"
    },
    {
      "name": "Panayotis G. Kevrekidis"
    },
    {
      "name": "Stephane Coen"
    },
    {
      "name": "C. Martijn de Sterke"
    },
    {
      "name": "Antoine F. J. Runge"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/akpmehwx7qngm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12269",
  "fulltext_url": null,
  "id": "akpmehwx7qngm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12269",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "physics.optics"
    ],
    [
      "openalex",
      "3107|Advanced Fiber Laser Technologies"
    ]
  ],
  "openalex": "W7213139381",
  "pdf_url": "https://arxiv.org/pdf/2609.12269",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/akpmehwx7qngm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:07Z",
      "native_id": "2609.12269",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12269"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.optics",
      "subfield": "optics-photonics"
    }
  ],
  "title": "Inverse reconstruction of dissipative Kerr soliton interactions",
  "title_text": "Inverse reconstruction of dissipative Kerr soliton interactions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:07Z",
  "url": "https://research.draconitic.com/paper/akpmehwx7qngm",
  "venue": "arXiv",
  "versions": []
}