Modulational stability of wave packets at fluid interface of layer and half-space

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dc.contributor.authorAvramenko, Olha en_US
dc.contributor.authorNaradovyi, Volodymyr en_US
dc.date.accessioned2025-12-01T13:31:31Z
dc.date.available2025-12-01T13:31:31Z
dc.date.issued2025
dc.description.abstractThe modulational stability of internal wave packets propagated along the surface of a hydrodynamic system consisting of a lower half-space and an upper layer covered with a rigid lid 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 implemented via symbolic computation. The evolution equation of the envelope of the wave packet takes the form of the Schrodinger equation. Conditions ¨ for the modulational stability of the solution of the evolution equation are identified for various physical and geometrical characteristics of the system. Significant influence on the modulational stability of the system’s geometrical characteristics and surface tension is observed for relatively small liquid layer thicknesses. For large layer thicknesses, the stability diagram degenerates to that of a system composed of two half-spaces. en_US
dc.identifier.citationAvramenko O. V. Modulational stability of wave packets at fluid interface of layer and half-space / Olga Avramenko, Volodymyr Naradovy // Journal of Applied Mathematics and Computational Mechanics. - 2025. - Vol. 24, Issue 2. - P. 5-17. - https://doi.org10.17512/jamcm.2025.2.01 en_US
dc.identifier.issn2299-9965
dc.identifier.issn2353-0588
dc.identifier.urihttps://doi.org10.17512/jamcm.2025.2.01
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/37750
dc.language.isoen_US en_US
dc.relation.sourceJournal of Applied Mathematics and Computational Mechanics en_US
dc.statusfirst published en_US
dc.subjectmodulational stability en_US
dc.subjectinternal waves en_US
dc.subjectmulti-scale expansions en_US
dc.subjectsurface tension en_US
dc.subjectBenjamin-Feir index en_US
dc.subjectevolution equation en_US
dc.subjectarticle en_US
dc.titleModulational stability of wave packets at fluid interface of layer and half-space en_US
dc.typeArticle en_US
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