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arXiv · 1204.3206

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

Francesco Fedele·Denys Dutykh
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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 (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.

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Francesco Fedele, Denys Dutykh. 2012-04-14. Solitary wave interaction in a compact equation for deep-water gravity waves. https://doi.org/10.1134/s0021364012120041

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