On generation of long waves on a rotating ocean by wind stress distributions

Summary An initial value investigation is made of the transient development of dispersive long waves on a homogeneous rotating shallow ocean generated by an arbitrary steady or oscillatory wind stress disturbances. The significant effect of the rotation on these long waves is examined. The solution of the problem related to physically realistic wind stress distributions is obtained with physical implications. The principal features of the wave motions are explored. In place of complicated Green's function technique, the problem is solved by the generalized Fourier transform and the Laplace transform methods combined with the asymptotic techniques. The method of solution used is simple, elegant and straightforward.