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2015, 2015(special): 267-275. doi: 10.3934/proc.2015.0267

Interaction of oscillatory packets of water waves

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

Received  September 2014 Revised  March 2015 Published  November 2015

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.
Citation: Martina Chirilus-Bruckner, Guido Schneider. Interaction of oscillatory packets of water waves. Conference Publications, 2015, 2015 (special) : 267-275. doi: 10.3934/proc.2015.0267
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