Solitary Waves in Two-Layer Fluid with Piecewise Exponential Stratification

N. I. Makarenko; Макаренко Н. И.; J. L. Maltseva; Мальцева Ж. Л.; A. A. Cherevko; Черевко А. А.

doi:10.31857/S0032823523020091

Solitary Waves in Two-Layer Fluid with Piecewise Exponential Stratification

Authors: Makarenko N.I.¹, Maltseva J.L.¹, Cherevko A.A.¹
Affiliations:
1. Lavrentyev Institute of Hydrodynamics SB RAS
Issue: Vol 87, No 2 (2023)
Pages: 186-199
Section: Articles
URL: https://ruspoj.com/0032-8235/article/view/675138
DOI: https://doi.org/10.31857/S0032823523020091
EDN: https://elibrary.ru/TZPUKQ
ID: 675138

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Abstract

The problem on internal stationary waves in a two-layer fluid with density, depending exponentially on the depth inside the layers and having a jump at the interface, is considered. A non-linear equation of the second-order long-wave approximation is derived, and their asymptotic submodels, describing solitary waves of finite amplitude, are discussed. Dispersive properties and wave propagation regimes depending on dimensionless parameters of the background piecewise constant flow are studied.

Keywords

two-layer fluid, stratification, solitary waves

About the authors

N. I. Makarenko

Lavrentyev Institute of Hydrodynamics SB RAS

Author for correspondence.
Email: makarenko@hydro.nsc.ru
Russia, Novosibirsk

J. L. Maltseva

Lavrentyev Institute of Hydrodynamics SB RAS

Author for correspondence.
Email: maltseva@hydro.nsc.ru
Russia, Novosibirsk

A. A. Cherevko

Lavrentyev Institute of Hydrodynamics SB RAS

Author for correspondence.
Email: cherevko@hydro.nsc.ru
Russia, Novosibirsk

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