{
  "abstract": "We study the semiclassical dynamics of solitary waves for the three-dimensional cubic--quintic nonlinear Schrödinger equation with an external potential. For initial data given by a modulated free ground state $P_ω$, we prove that the wave-packet center follows the associated classical Hamiltonian flow. For $ω\\in\\mathcal I$, we obtain qualitative persistence near the soliton orbit. Under the additional positive-slope condition $ω\\in\\mathcal I_+$, we establish an $O(\\eps)$ approximation in the scaled $H^1$ norm on every fixed time interval. We also derive $O(\\eps^2)$ concentration estimates for the mass, momentum, and center of mass.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25648",
  "author_total": 2,
  "authors": [
    {
      "name": "Alex H. Ardila"
    },
    {
      "name": "Rémi Carles"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/40yj4w33ma14y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25648",
  "fulltext_url": null,
  "id": "40yj4w33ma14y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25648",
  "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": "W7214094983",
  "pdf_url": "https://arxiv.org/pdf/2609.25648",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/40yj4w33ma14y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:43Z",
      "native_id": "2609.25648",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25648"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Soliton Dynamics for the Cubic-Quintic Nonlinear Schrödinger Equation with a Potential",
  "title_text": "Soliton Dynamics for the Cubic-Quintic Nonlinear Schrödinger Equation with a Potential",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:43Z",
  "url": "https://research.draconitic.com/paper/40yj4w33ma14y",
  "venue": "arXiv",
  "versions": []
}