@inbook{9166fb7ebb92472282df4a6b65ad7622,
title = "Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface",
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.",
keywords = "Internal waves, Currents, Nonlinear waves, Long waves, Hamiltonian Systems, Solitons",
author = "Alan Compelli and Rossen Ivanov and Tony Lyons",
year = "2019",
month = nov,
doi = "10.1007/978-3-030-33536-6_6",
language = "English (Ireland)",
series = "Tutorials, Schools, and Workshops in the Mathematical Sciences ",
publisher = "Birkh{\"a}user",
pages = "87--108",
booktitle = "Nonlinear Water Waves",
}