  In this study, a new set of fifth-order Stokes wave solutions, incorporating
the effects of a linear shear current, is derived by utilizing the perturbation
method originally proposed for pure waves that was recently published. The
present solutions are checked against the existing experimental data, the
third-order stream function solutions, as well as the numerical results. The
comparisons demonstrate that the present solutions are more accurate in
describing the velocity distributions during wave propagation, especially in
strong following currents and positive vorticity conditions. Subsequently, the
present solutions are used to investigate the fluid particle trajectories for
different wave-current interaction conditions. The results indicate that the
background vorticity can alter the patterns of fluid particle trajectories and
the direction of Stokes drifts.
