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Low regularity justification results for envelope approximations of nonlinear wave packets in periodic media
OAI: oai:purehost.bath.ac.uk:publications/ed0785ba-26a0-488d-a2bf-8b048d723d3e • DOI: https://doi.org/10.3233/ASY-161375
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.
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.