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 (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. Solitary wave interaction in a compact equation for deep-water gravity waves. JETP Letters, Springer Verlag, 2012, 95 (12), pp.622-625. ⟨http://link.springer.com/article/10.1134%2FS0021364012120041⟩. ⟨10.1134/S0021364012120041⟩. ⟨hal-00687668⟩

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