Benjamin-Ono model of an internal wave under a flat surface
Analysis of PDEs
2019-05-20 v1 Exactly Solvable and Integrable Systems
Fluid Dynamics
Abstract
A two-layer fluid system separated by a pycnocline in the form of an internal wave is considered. The lower layer is infinitely deep, with a higher density than the upper layer which is bounded above by a flat surface. The fluids are incompressible and inviscid. A Hamiltonian formulation for the fluid dynamics is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.
Cite
@article{arxiv.1811.01446,
title = {Benjamin-Ono model of an internal wave under a flat surface},
author = {Alan C. Compelli and Rossen I. Ivanov},
journal= {arXiv preprint arXiv:1811.01446},
year = {2019}
}
Comments
19 pages, 1 figure. Keywords: Internal waves, nonlinear waves, long waves, Hamiltonian systems, solitons