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The NLS approximation for two dimensional deep gravity waves

Published Web Location

https://doi.org/10.1007/s11425-018-9501-y
Abstract

This article is concerned with infinite depth gravity water waves in two space dimensions. We consider this system expressed in position-velocity potential holomorphic coordinates. Our goal is to study this problem with small wave packet data, and to show that this is well approximated by the cubic nonlinear Schrödinger equation (NLS) on the natural cubic time scale.

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