2012
Solitary wave interaction in a compact equation for deep-water gravity waves
JJETP Letters
F. Fedele and D. Dutykh
JETP Letters 95(12): 703-706 (2012)
Open Access
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
integrabilitywave interactionwater wavesnonlinear wave dynamicssolitary wavesdeep-water gravity wavesZakharov equationsolitonsdeep water approximationspectral methodsHamiltonian structurenumerical simulationstravelling waves
Bibliographic record
BibTeX Citation
@article{Fedele2012solitarywave,
author = {Fedele, F. and Dutykh, D.},
title = {Solitary wave interaction in a compact equation for deep-water gravity waves},
journal = {JETP Letters},
year = {2012},
volume = {95},
number = {12},
pages = {703--706},
doi = {10.1134/S0021364012120041},
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 = {integrability, wave interaction, water waves, nonlinear wave dynamics, solitary waves, deep-water gravity waves, Zakharov equation, solitons, deep water approximation, spectral methods, Hamiltonian structure, numerical simulations, travelling waves}
}