Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media

Karsten Matthies, Hannes Uecker

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Abstract

We consider a cubic nonlinear wave equation with
highly oscillating cubic coefficient and wave packet initial data.
Using a regularization step of the initial data, we give a low regularity justification of the Nonlinear Schrodinger
equation as the envelope equation.
Original languageEnglish
Pages (from-to)53-65
JournalAsymptotic Analysis
Volume99
Issue number1-2
DOIs
Publication statusPublished - 10 Aug 2016

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