Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface

Authors

Alan Compelli, University College Cork, Ireland
Rossen Ivanov, Technological University DublinFollow
Tony Lyons, Waterford Institute of Technology, Ireland

Document Type

Book Chapter

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics, Fluids and plasma physics

Publication Details

In : Nonlinear Water Waves: An Interdisciplinary Interface, (Editors: David Henry et al.), Springer Nature Switzerland AG 2019

Abstract

A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is bounded below by a flat bottom and the upper layer is bounded above by a flat surface. The fluids are incompressible and inviscid and Coriolis forces as well as currents are taken into consideration. A Hamiltonian formulation is presented and appropriate scaling leads to a KdV approximation. Additionally, considering the lower layer to be infinitely deep leads to a Benjamin-Ono approximation.

DOI

10.1007/978-3-030-33536-6

Recommended Citation

Compelli, A.,Ivanov, R. & Lyons, T. (2020) Nonlinear Water Waves: an Interdisciplinary Interface, Springer Nature, Switzerland. isbn:978-3-030-33536-6