Interaction of oscillatory packets of water waves

Martina  Chirilus-Bruckner; Guido Schneider

doi:10.3934/proc.2015.0267

Article Contents

2015, Volume 2015: 267-275. Doi: 10.3934/proc.2015.0267 open access

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Interaction of oscillatory packets of water waves

Martina Chirilus-Bruckner^1, and
Guido Schneider^2,

1.
Mathematical Institute, University of Leiden, 2300 RA Leiden
2.
Institut für Analysis, Dynamik und Modellierung, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart

Received: August 31, 2014

Revised: February 28, 2015

Published: October 2015

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Abstract

For surface gravity water waves we give a detailed analysis of the interaction of two NLS described wave packets with different carrier waves. We separate the internal dynamics of each wave packet from the dynamics caused by the interaction and prove the validity of a formula for the envelope shift caused by the interaction of the wave packets.

Keywords:

NLS approximation,
wave packet interaction.

Mathematics Subject Classification: Primary: 76B15; Secondary: 35Q55, 35A35.

Citation:

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References

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