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Modified scattering for a dispersion-managed nonlinear Schrodinger equation

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 نشر من قبل Tim Van Hoose
 تاريخ النشر 2021
  مجال البحث
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We prove sharp $L^infty$ decay and modified scattering for a one-dimensional dispersion-managed cubic nonlinear Schrodinger equation with small initial data chosen from a weighted Sobolev space. Specifically, we work with an averaged version of the dispersion-managed NLS in the strong dispersion management regime. The proof adapts techniques from Hayashi-Naumkin and Kato-Pusateri, which established small-data modified scattering for the standard $1d$ cubic NLS.



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