This article is cited in 2 papers

Irregular dynamics of internal waves in a weakly stratified fluid in the viscous benjamin–ono equation model

M. V. Flamarion^a, E. N. Pelinovsky<sup>bc

a</sup> Departamento Ciencias – Sección Matemáticas, Pontificia Universidad Católica del Perú, Lima, Peru
^b Faculty of Informatics, Mathematics and Computer Science, National Research University "Higher School of Economics," Nizhny Novgorod, Russia
^c Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

Abstract: We investigate the complex dynamics of narrow-band wave fields described by the viscous Benjamin–Ono equation, a model of significant relevance in hydrodynamics. Through detailed numerical simulations, we analyze the role of Reynolds viscosity in shaping statistical moments, energy spectra, and the occurrence of extreme internal wave events. In particular, we show that freak waves of moderate amplitude can occur in viscous fluids.

Keywords: Benjamin–Ono equation, anomalous waves, viscous fluids.

Received: 15.11.2024
Revised: 25.12.2024

DOI: 10.4213/tmf10854

 English version: Theoretical and Mathematical Physics, 2025, 224:1, 1126–1135

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