This article is cited in 6 papers

Nonlinear internal waves in multilayer shallow water

V. Yu. Lyapidevskii^ab, M. V. Turbin^b, F. F. Khrapchenkov^bc, V. F. Kukarin<sup>d

a</sup> Lavrentyev Institute of Hydrodynamics of Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
^b Voronezh State University, Voronezh, 394018, Russia
^c V. I. Il'ichev Pacific Oceanological Institute, Far Eastern Branch of RAS, Vladivostok, 690041, Russia
^d Nikolaev Institute of Inorganic Chemistry, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

Abstract: Within the framework of the second approximation of the shallow water theory, the flow of a multilayer fluid stratified in density is under study. A mathematical model for the propagation of near-bottom and near-surface large-amplitude internal waves is constructed, taking into account the influence of the fine structure of thermocline (pycnocline). Using the resulting solutions describing the propagation of solitary waves and wave bores, field data are interpreted.

Keywords: multilayer shallow water, internal waves, wave bore, field experiment.

UDC: 532.59; 551.466

Received: 29.07.2019
Revised: 29.07.2019
Accepted: 29.07.2019

DOI: 10.15372/PMTF20200105

 English version: Journal of Applied Mechanics and Technical Physics, 2020, 61:1, 45–53

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