Theory of small aspect ratio waves in deep water

Details Theory of small aspect ratio waves in deep water Theory of small aspect ratio waves in deep water

2005-12-20

arxiv.org/abs/nlin/0512057v1

Physica D 211 (2005) 377-390

Nonlinear Sciences

Pattern Formation and Solitons

LaTex file, 16 pages, 4 figures

Scientific paper

10.1016/j.physd.2005.09.001

In the limit of small values of the aspect ratio parameter (or wave steepness) which measures the amplitude of a surface wave in units of its wave-length, a model equation is derived from the Euler system in infinite depth (deep water) without potential flow assumption. The resulting equation is shown to sustain periodic waves which on the one side tend to the proper linear limit at small amplitudes, on the other side possess a threshold amplitude where wave crest peaking is achieved. An explicit expression of the crest angle at wave breaking is found in terms of the wave velocity. By numerical simulations, stable soliton-like solutions (experiencing elastic interactions) propagate in a given velocities range on the edge of which they tend to the peakon solution.

Affiliated with

Also associated with

No associations

Rating

Theory of small aspect ratio waves in deep water 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 Theory of small aspect ratio waves in deep water, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of small aspect ratio waves in deep water will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662377