Solitary Waves in Two-Layer Fluid with Piecewise Exponential Stratification

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Resumo

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.

Sobre autores

N. Makarenko

Lavrentyev Institute of Hydrodynamics SB RAS

Autor responsável pela correspondência
Email: makarenko@hydro.nsc.ru
Russia, Novosibirsk

J. Maltseva

Lavrentyev Institute of Hydrodynamics SB RAS

Autor responsável pela correspondência
Email: maltseva@hydro.nsc.ru
Russia, Novosibirsk

A. Cherevko

Lavrentyev Institute of Hydrodynamics SB RAS

Autor responsável pela correspondência
Email: cherevko@hydro.nsc.ru
Russia, Novosibirsk

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Declaração de direitos autorais © Н.И. Макаренко, Ж.Л. Мальцева, А.А. Черевко, 2023

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