Benjamin-Ono dynamics of internal waves with currents

2026/06/12 by Lyudmila Ivanova · 1 voice
Physics and Astronomy · #nlin.PS

paper · pdf · doi:10.1088/1742-6596/3239/1/012003

Abstract

Internal water waves arise when there is a change in density stratification in a fluid, which may occur in an oceanographical context due to variations in temperature, salinity, or other fluctuations in the equations of state. We present a derivation of nonlinear integrable models for the propagation of interfacial internal waves arising between two fluid layers of different densities (at the so called pycnocline). We examine the integrable Benjamin-Ono (BO) equation as an internal wave model, incorporating underlying currents by permitting a sheared current in both fluid layers. The BO equation arises for a specific small-amplitude asymptotic regime. We show that the BO soliton characteristics are strongly affected by the shear current parameters.

Citations

• Higher-order integrable models for oceanic internal wave-current interactions
• Benjamin-Ono model of an internal wave under a flat surface
• The Dynamics of Flat Surface Internal Geophysical Waves with Currents
• On the dynamics of internal waves interacting with the equatorial undercurrent
• Asymptotic Models for Internal Waves

Discussions

• Lyudmila Ivanova: Benjamin-Ono dynamics of internal waves with currents https://arxiv.org/abs/2606.14563 https://arxiv.org/pdf/2606.14563 https://arxiv.org/html/2606.14563 [bsky, 0 points, 0 comments]

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