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Benjamin-Ono model of an internal wave under a flat surface

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arxiv 1811.01446 v1 pith:W4XREIGR submitted 2018-11-04 math.AP nlin.SIphysics.flu-dyn

Alan C. Compelli , Rossen I. Ivanov This is my paper · ORCID
classification math.APnlin.SIphysics.flu-dyn
keywords benjamin-onoflatfluidinternallayersurfacewaveabove
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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.

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  1. Modelling intermediate internal waves with currents and variable bottom

    nlin.PS 2025-06 conditional novelty 6.0 of 10

    A new asymptotic model, the variable-coefficient Intermediate Long Wave Equation, is derived for interfacial waves with shear currents and a slowly varying bottom, with higher-order corrections and a critical-depth condition.

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