On Stationary Waves on the Surface of a Finite-Depth Ideal Fluid: Stokes’ Second Method

The classical problem of stationary waves on the surface of an ideal incompressible homogeneous fluid of finite depth is considered. The solution approach to the problem is related to Stokes’ second method, but has the following differences: due to the one-dimensional integro-differential equation with cubic nonlinearity obtained for the profile of a stationary wave on the surface of the finite-depth fluid, the original problem is reduced to a one-dimensional one. The solution is obtained up to the seventh approximation.