On the particle motion in geophysical deep water waves traveling over   uniform currents
  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. 
Anca-Voichita Matioc
math.AP