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

نویسندگان

  • Karsten Matthies
  • Hannes Uecker
چکیده

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 Schrödinger equation as the envelope equation.

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عنوان ژورنال:
  • Asymptotic Analysis

دوره 99  شماره 

صفحات  -

تاریخ انتشار 2016