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VOLUME 95 (2012) | ISSUE 12 | PAGE 703
Solitary wave interaction in a compact equation for deep-water gravity waves
Abstract
In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakharov. Furthermore, by means of an accurate Fourier-type spectral scheme we find that solitary waves appear to collide elastically, suggesting the integrability of the Zakharov equation.