Subharmonic generation of edge waves by nonuniform incident waves
type: Item
instance of: scholarly article
title: Subharmonic generation of edge waves by nonuniform incident waves
zbMATH Open document ID: 0652.76009
DOI: 10.1016/0165-2125(88)90040-6
author: Mostafa A. Foda
author: Chiang C. Mei
published in: Wave Motion
publication date: 1988-01-01T00:00:00Z
review text: In the introduction the authors present a short historical sketch of the ideas concerning the edge waves propagation on a plane beach, pointing our the contribution of the authors. This paper presents the deduction of the asymptotic equations for a plane beach in the nonlinear shallow water theory, considering first-order dispersive effects. The deduced equations are solved approximately by means of the multiple scales method and in this manner some useful consequences are derived concerning the influence of the incident wave train on the edge wave equilibrium amplitude, the influence of the incident wave modulation on the edge waves and finally, the forced initial growth of periodic infinitesimal edge waves.
Mathematics Subject Classification ID: 76B15
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 4064630
zbMATH Keywords: edge waves propagation
zbMATH Keywords: plane beach
zbMATH Keywords: asymptotic equations
zbMATH Keywords: shallow water theory
zbMATH Keywords: multiple scales method
zbMATH Keywords: incident wave train
zbMATH Keywords: edge wave equilibrium amplitude
zbMATH Keywords: incident wave modulation
zbMATH Keywords: forced initial growth of periodic infinitesimal edge waves
MaRDI profile type: Publication
full work available at URL: 0165-2125(88)90040-6
OpenAlex ID: W2038306997
cites work: Large-scale modulations of edge waves
cites work: Nonlinear excitation of long-trapped waves by a group of short swells
cites work: Generation of surf beat by non-linear wave interactions
cites work: Q3675706
cites work: On the excitation of edge waves on beaches
cites work: Long waves on a beach
cites work: Finite amplitude effects in free and forced edge waves
description: scientific article; zbMATH DE number 4064630