Benjamin–Feir Instability of Wave Packets at Interface of Liquid Half-Space and Layer
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Date
2026
Authors
Avramenko, Olha
Naradovyi, Volodymyr
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Abstract
The 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.
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Keywords
modulational instability, internal waves, surface tension, article
Citation
Avramenko 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_69