Benjamin–Feir Instability of Wave Packets at Interface of Liquid Half-Space and Layer

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dc.contributor.authorAvramenko, Olhaen_US
dc.contributor.authorNaradovyi, Volodymyren_US
dc.date.accessioned2026-06-02T06:39:48Z
dc.date.available2026-06-02T06:39:48Z
dc.date.issued2026
dc.description.abstractThe propagation of internal waves in a hydrodynamic system comprising a solid bottom and an upper half-space is investigated. The study is conducted within the framework of a nonlinear low-dimensional model incorporating surface tension on an interface using the method of multi-scale expansions. The evolution equation of the envelope of the wave packet takes the form of the Schr ̈odinger equation. Conditions for the Benjamin–Feir stability of the solution of the evolution equation are identified for various physical and geometrical characteristics of the system.en_US
dc.identifier.citationAvramenko O. V. Benjamin–Feir Instability of Wave Packets at Interface of Liquid Half-Space and Layer / Olga Avramenko and Volodymyr Naradovyi // Rendiconti di Matematica e delle sue Applicazioni. - 2026. - Vol. 47. - P. 55-69. - https://sites.google.com/uniroma1.it/rendiconti/volume-47-1-2026/volume-47_1_2026_55_69en_US
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/39879
dc.language.isoen_USen_US
dc.relation.sourceRendiconti di Matematica e delle sue Applicazionien_US
dc.statusfirst publisheden_US
dc.subjectmodulational instabilityen_US
dc.subjectinternal wavesen_US
dc.subjectsurface tensionen_US
dc.subjectarticleen_US
dc.titleBenjamin–Feir Instability of Wave Packets at Interface of Liquid Half-Space and Layeren_US
dc.typeArticleen_US
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