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Journal Articles JETP Letters Year : 2012

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

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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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Dates and versions

hal-00687668 , version 1 (13-04-2012)

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Attribution - CC BY 4.0

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Francesco Fedele, Denys Dutykh. Solitary wave interaction in a compact equation for deep-water gravity waves. JETP Letters, 2012, 95 (12), pp.622-625. ⟨10.1134/S0021364012120041⟩. ⟨hal-00687668⟩
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