Benjamin-Ono model of an internal wave under 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 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.

arXiv comment19 pages, 1 figure. Keywords: Internal waves, nonlinear waves, long waves, Hamiltonian systems, solitons

References in corpus (1)

• Nearly-Hamiltonian Structure for Water Waves with Constant Vorticity

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