---
res:
  bibo_abstract:
  - "For slowly-varying initial data, solutions to the Ablowitz–Ladik system have
    been proven to converge to solutions of the cubic Schrödinger equation. In this
    paper we show that in the continuum limit, solutions to the Ablowitz–Ladik system
    with H^1 initial data may also converge to solutions of the modified Korteweg–de
    Vries equation. To exhibit this new limiting behavior, it suffices that the initial
    data is supported near the inflection points of the dispersion relation associated
    with the Ablowitz–Ladik system.\r\n\r\nOur arguments employ harmonic analysis
    tools, Strichartz estimates, and the conservation of mass and energy. Correspondingly,
    they are applicable beyond the completely integrable models of greatest interest
    to us.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Rowan
      foaf_name: Killip, Rowan
      foaf_surname: Killip
  - foaf_Person:
      foaf_givenName: Zhimeng
      foaf_name: Ouyang, Zhimeng
      foaf_surname: Ouyang
  - foaf_Person:
      foaf_givenName: Monica
      foaf_name: Visan, Monica
      foaf_surname: Visan
      foaf_workInfoHomepage: http://www.librecat.org/personId=056daca0-b8d1-11f0-964f-f91054abf8ca
  - foaf_Person:
      foaf_givenName: Lei
      foaf_name: Wu, Lei
      foaf_surname: Wu
  bibo_doi: 10.3934/dcds.2024114
  bibo_issue: '3'
  bibo_volume: 45
  dct_date: 2025^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/1078-0947
  - http://id.crossref.org/issn/1553-5231
  dct_language: eng
  dct_publisher: American Institute of Mathematical Sciences@
  dct_title: The modified Korteweg–de Vries limit of the Ablowitz–Ladik system@
...