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

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

2012-04-14

arxiv.org/abs/1204.3206v1

Physics

Classical Physics

8 pages, 5 figures, 23 references. Other author's papers can be downloaded at http://www.lama.univ-savoie.fr/~dutykh/ . arXiv

Scientific paper

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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