Mean flow velocities and mass transport for Equatorially-trapped water waves with an underlying current

Abstract: In this paper we present an analysis of the mean flow velocities, and related mass transport, which are induced by certain Equatorially-trapped water waves. In particular, we examine a recently-derived exact and explicit solution to the geophysical governing equations in the $\beta-$plane approximation at the Equator which incorporates a constant underlying current.