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

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

2008-10-07

arxiv.org/abs/0810.1125v2

Physics

Fluid Dynamics

revtex4, 9 pages, 9 figures, new material added

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Water-wave gap solitons: An approximate theory and accurate numerical experiments does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Water-wave gap solitons: An approximate theory and accurate numerical experiments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Water-wave gap solitons: An approximate theory and accurate numerical experiments will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556897