{
  "abstract": "We explore the regularity of energy maximizers for the Lagrangian of a periodic dispersion managed fiber optic at fixed intensity, on a torus of length $L$ and with vanishing average dispersion. We show that the Fourier coefficients decay at a polynomial rate, and then upgrade this to exponential decay, so that the maximizers are analytic in space for large enough $L$. In addition, by an asymptotic comparison to the optimizers on the real line, we prove that the solutions are non-trivial. We also consider a conjecture that the maximizer necessarily has an underlying symmetry inherent to both the energy functional and the resulting Euler-Lagrange equation. All of our results are supported with illustrative numerical experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07535",
  "author_total": 4,
  "authors": [
    {
      "name": "Sebastian Herr"
    },
    {
      "name": "Dirk Hundertmark"
    },
    {
      "name": "Jeremy L. Marzuola"
    },
    {
      "name": "Tim Van Hoose"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b0hvtqvagrva1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07535",
  "fulltext_url": null,
  "id": "b0hvtqvagrva1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07535",
  "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",
      "math.AP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7211987317",
  "pdf_url": "https://arxiv.org/pdf/2609.07535",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b0hvtqvagrva1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.07535",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07535"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "On Analyticity of Solitons for the Periodic Dispersion-Managed Nonlinear Schrödinger Equation",
  "title_text": "On Analyticity of Solitons for the Periodic Dispersion-Managed Nonlinear Schrödinger Equation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/b0hvtqvagrva1",
  "venue": "arXiv",
  "versions": []
}