The water-surface profiles over the wavy bed and along the wavy side w
all are analytically investigated using a Laplace equation. The nonlin
ear dynamic and kinematic conditions on the free surface are treated b
y the perturbation method and analytic solutions are obtained. As a re
sult, the shapes of the crest of the water-surface profile are flatter
in length than that of the trough over and along the wavy boundary in
subcritical flow. In supercritical flow, the shapes of the crest are
more peaked and shorter than that of the trough over and along the wav
y boundary. The theoretical result of the water-surface profile of the
open-channel flow over the wavy boundary is in good agreement with th
e experiments. The theoretical result for the flow along the wavy side
wall in subcritical flow is also good agreement with experiment, but
it in supercritical flow is not.