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

Karsten Matthies; Hannes Uecker

doi:10.3233/ASY-161375

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

Karsten Matthies, Hannes Uecker

Carl von Ossietzky University of Oldenburg

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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 language	English
Pages (from-to)	53-65
Journal	Asymptotic Analysis
Volume	99
Issue number	1-2
DOIs	https://doi.org/10.3233/ASY-161375
Publication status	Published - 10 Aug 2016

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title = "Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media",

abstract = "We consider a cubic nonlinear wave equation withhighly 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 Schrodingerequation as the envelope equation.",

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AU - Uecker, Hannes

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AB - We consider a cubic nonlinear wave equation withhighly 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 Schrodingerequation as the envelope equation.

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

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