Benjamin-Ono Model of an Internal Wave Under a Flat Surface

Authors

Alan Compelli, University College Cork
Rossen Ivanov, Technological University DublinFollow

Document Type

Article

Rights

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

Disciplines

1.1 MATHEMATICS

Publication Details

Discret and Continuous Dynamical Systems

Abstract

A two-layer uid 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 at surface. The uids are incompressible and inviscid. A Hamiltonian formulation for the dynamics in the presence of a depth-varying current is presented and it is shown that an appropriate scaling leads to the integrable Benjamin-Ono equation.

DOI

https://doi.org/10.3934/dcds.2019185

Recommended Citation

Compelli, A., Ivanov, R. (2019). Benjamin-Ono Model of an Internal Wave Under a Flat Surface. Discrete and Continuous Dynamical Systems, 39(8), pp.4519-4532. doi:0.3934/dcds.2019185