Water-wave gap solitons: An approximate theory and accurate numerical experiments

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

It is demonstrated that a standard coupled-mode theory can successfully describe weakly-nonlinear gravity water waves in Bragg resonance with a periodic one-dimensional topography. Analytical solutions for gap solitons provided by this theory are in a reasonable agreement with accurate numerical simulations of exact equations of motion for ideal planar potential free-surface flows, even for strongly nonlinear waves. In numerical experiments, self-localized groups of nearly standing water waves can exist up to hundreds of wave periods. Generalizations of the model to the three-dimensional case are also derived.
revtex4, 9 pages, 9 figures, new material added

Keywords

Fluid Dynamics

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/172360

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1125
 http://arxiv.org/abs/0810.1125

Collections

arXiv