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In this study we compute numerical traveling wave solutions to a compactversion of the Zakharov equation for unidirectional deep-water waves recentlyderived by Dyachenko & Zakharov (2011) Furthermore, by means of an accurateFourier-type spectral scheme we find that solitary waves appear to collideelastically, suggesting the integrability of the Zakharov equation.

Solitary wave interaction in a compact equation for deep-water gravity waves