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Article

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Disciplines

1.1 MATHEMATICS

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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

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