@inbook{ccde9e1d70fe45c18ab052ff6becb049,
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 = "Currents, Hamiltonian systems, Internal waves, Long waves, Nonlinear waves, Solitons",
author = "Compelli, \{Alan C.\} and Ivanov, \{Rossen I.\} and Tony Lyons",
note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",
year = "2019",
doi = "10.1007/978-3-030-33536-6\_6",
language = "English",
series = "Tutorials, Schools, and Workshops in the Mathematical Sciences",
publisher = "Birkhauser",
pages = "87--108",
booktitle = "Tutorials, Schools, and Workshops in the Mathematical Sciences",
}