  We provide an in-depth exploration of the mass-transport properties of
Pollard's exact solution for a zonally-propagating surface water-wave in
infinite depth. Without resorting to approximations we discuss the Eulerian
mass transport of this fully nonlinear, Lagrangian solution. We show that it
has many commonalities with the linear, Eulerian wave-theory, and also find
Pollard-like solutions in the first and second order Lagrangian theory.
