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Benjamin-Ono model of an internal wave under a flat surface (1811.01446v1)
Published 4 Nov 2018 in math.AP, nlin.SI, and physics.flu-dyn
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.