Peculiarities of initial condition specification in a problem of wave packet propagation in layered fluid
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Date
2024
Authors
Avramenko, Olha
Journal Title
Journal ISSN
Volume Title
Publisher
Дніпровський національний університет імені Олеся Гончара
Abstract
The problem of wave packet propagation along the interface of two semiinfinite fluids with different densities is considered within the framework of a weakly nonlinear model, taking surface tension into account. The method of multiple scales expansions is applied. The analytical analysis of admissible initial conditions is carried out in two stages. In the first stage, the initial perturbation of the free surface is specified as a smooth function symmetric about the central point. This function is expanded into a series of the first harmonics, taking into account the dispersion relation. In the second stage, a sequence of second harmonics is constructed that satisfies the evolution equation, namely, the nonlinear Schrödinger equation.
Description
Keywords
method of multiple scales, nonlinear Schrödinger equation, weakly nonlinear model, conference abstracts
Citation
Avramenko O. V. Peculiarities of initial condition specification in a problem of wave packet propagation in layered fluid / Avramenko O. V. // Автоматика 2024 : тези XХVІІ Міжнародної конференції з автоматичного керування, Дніпро, 20-22 листопада 2024 р. / Дніпровський національний університет імені Олеся Гончара [та ін.]. - Дніпро : ДНУ, 2024. - С. 5.