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.
Domains
Physics [physics] Mechanics [physics] Fluid mechanics [physics.class-ph] Engineering Sciences [physics] Mechanics [physics.med-ph] Fluids mechanics [physics.class-ph] Physics [physics] Physics [physics] Fluid Dynamics [physics.flu-dyn] Nonlinear Sciences [physics] Exactly Solvable and Integrable Systems [nlin.SI] Nonlinear Sciences [physics] Pattern Formation and Solitons [nlin.PS] Physics [physics] Physics [physics] Computational Physics [physics.comp-ph] Physics [physics] Physics [physics] Atmospheric and Oceanic Physics [physics.ao-ph] Mathematics [math] Analysis of PDEs [math.AP]
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