Modulational instability of two obliquely interacting waves in presence of a thin pycnocline

Purkait, Anushri; Debsarma, Suma

doi:10.1016/j.euromechflu.2020.07.013

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2023

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Cited by 2 publications

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“…In [10], the modulation instability of two obliquely interacting waves in the presence of a thin pycnocline is investigated. Nonlinear evolution equations, correct up to the fourth order in wave steepness, are derived for a pair of obliquely interacting wave packets in the presence of thin pycnocline.…”

Section: Analysis Of Literature Datamentioning

confidence: 99%

Modulation stability of wave-packets in a three-layer fluid

Kharchenko,

Naradovyi

2023

Math. Model. Comput.

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This article investigates the modulation stability condition for the problem of wave packet propagation in a three-layer hydrodynamic system "layer with a hard bottom – layer – layer with a lid". The graphs of the dependence of the modulation stability limits on the thickness of the lower and upper layer and on the density of the middle and upper layers for capillary and gravity waves are illustrated and analyzed. The evolution equations of the envelope of wave packets in the form of the second-order nonlinear Schrödinger equation for the lower and upper surfaces of the contact are obtained. The conditions of modulation stability are derived.

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Section: Analysis Of Literature Datamentioning

confidence: 99%