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

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 (2011) 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.

preprint2012arXivOpen access

Francesco Fedele Denys Dutykh

physics.flu-dyn nlin.SI physics.class-ph

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Francesco Fedele Denys Dutykh

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