On the particle paths and the stagnation points in small-amplitude deep-water waves
Mathematical Physics
2015-06-04 v1 math.MP
Abstract
In order to obtain quite precise information about the shape of the particle paths below small-amplitude gravity waves travelling on irrotational deep water, analytic solutions of the nonlinear differential equation system describing the particle motion are provided. All these solutions are not closed curves. Some particle trajectories are peakon-like, others can be expressed with the aid of the Jacobi elliptic functions or with the aid of the hyperelliptic functions. Remarks on the stagnation points of the small-amplitude irrotational deep-water waves are also made.
Keywords
Cite
@article{arxiv.1202.5001,
title = {On the particle paths and the stagnation points in small-amplitude deep-water waves},
author = {Delia Ionescu-Kruse},
journal= {arXiv preprint arXiv:1202.5001},
year = {2015}
}
Comments
to appear in J. Math. Fluid Mech. arXiv admin note: text overlap with arXiv:1106.3824