Abstract
We compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko and Zakharov [1]. 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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Fedele, F., Dutykh, D. Solitary wave interaction in a compact equation for deep-water gravity waves. Jetp Lett. 95, 622–625 (2012). https://doi.org/10.1134/S0021364012120041
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DOI: https://doi.org/10.1134/S0021364012120041