  Two-dimensional periodic surface waves propagating under the combined
influence of gravity and surface tension on water of finite depth are
considered. Within the framework of small-amplitude waves, we find the exact
solutions of the nonlinear differential equation system which describes the
particle motion in the considered case, and we describe the possible particle
trajectories. The required computations involve elliptic integrals of the first
kind, the Legendre normal form and a solvable Abel differential equation of the
second kind. Some graphs of the results are included.
