On the particle motion in geophysical deep water waves traveling over uniform currents
arXiv:1209.1924
Abstract
We describe a family of exact Gerstner type solutions for the geophysical equatorial deep water wave problem in the f-plane approximation. These Gerstner type waves are two-dimensional and travel with constant speed over a uniform horizontal current. The particle paths in the presence and absence of the Coriolis force are also analyzed in dependence of the current strength.
14 pages, 2 figures, to appear in Quart. Appl. Math