Author(s)

H.A. Schaffer & P.A. Madsen

Abstract

A simple derivation of higher order Boussinesq equations is outlined. In terms of the traditionally used velocity variables at least one of the conser- vation equations of mass and momentum contains terms with five deriva- tives. These equations are re-expressed in terms of a new generalized velocity variable. It is shown that for a suitable choice of generalized ve- locity the fifth-derivative terms vanish. Favouring numerical integration, this leaves us with a set of equations involving only third-derivatives al- though it is developed to higher order than usual in the small parameters of nonlinearity and dispersion. 1. Introduction Depth-integrated conservation equations of mass and momentum based on expansions from shallow water are called Bou

Keywords