A numerical study of the relationship between the dimensionless parameters in the problem of periodic waves of permanent type in a liquid of finite depth

Consider a periodic wave moving with constant velocity c from right to left on the surface of an inviscid, incompressible fluid which is at rest at infinity.The motion is assumed to be irrotational and two-dimensional.The bottom is horizontal, and the depth of the undisturbed fluid is h.If a constant velocity c from left to right is superposed on the fluid, the wave form is reduced to rest in space, the motion becomes steady, and the velocity at infinity becomes c from left to right.The motion of the fluid contained in one wave length will *