ABSTRACT
This chapter deals with the computation of symmetric finite amplitude waves propagating without change of form on the surface of a liquid above a horizontal flat bottom. It assumes the liquid to be inviscid and incompressible and the flow to be irrotational. The chapter formulates the problem as an integro-differential equation system for the unknown shape of the free surface. This system consists of a nonlinear differential equation coupled with a linear integral equation. A numerical scheme based on Newton’s iterations is derived to solve these equations. The chapter also shows that the wave speed parameter is not a single valued function in approximate solutions for gravity-capillary waves in deep water.
