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

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