Edge waves generated by the landslide on a sloping beach

A general solution of linear edge wave, expressed in triple integral form, is obtained for a landslide of an arbitrary shape on a uniformly sloping beach. Utilizing a reliable numerical integration package, surface elevations are computed accurately. Results for various Gaussian landslide shapes are presented by both numerical integrations and an asymptotic method along with numerical integration. Wave fields triggered by landslide motion with different shapes are strongly affected by the initial condition at the early phase but the initial difference decreases as time goes on. The effect of double quadratic finite slide on the generated wave is analyzed. Some evidences for the edge wave behavior of a dispersive water wave are obtained in the present numerical experiments.