Solitary wave interaction in a compact equation for deep-water gravity waves
Classical Physics
2020-02-20 v1 Exactly Solvable and Integrable Systems
Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1204.3206,
title = {Solitary wave interaction in a compact equation for deep-water gravity waves},
author = {Francesco Fedele and Denys Dutykh},
journal= {arXiv preprint arXiv:1204.3206},
year = {2020}
}
Comments
8 pages, 5 figures, 23 references. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/ . arXiv admin note: text overlap with arXiv:1204.2889