  The propagation of surface water waves interacting with a current and an
uneven bottom is studied. Such a situation is typical for ocean waves where the
winds generate currents in the top layer of the ocean. The role of the bottom
topography is taken into account since it also influences the local wave and
current patterns. Specific scaling of the variables is selected which leads to
approximations of Boussinesq and KdV types. The arising KdV equation with
variable coefficients, dependent on the bottom topography, is studied
numerically when the initial condition is in the form of the one soliton
solution for the initial depth. Emergence of new solitons is observed as a
result of the wave interaction with the uneven bottom.
