Volume_47_1_(2026)_55_69

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

Olga Avramenko, Volodymyr Naradovyi

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 Schrödinger 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. 

Rend. Mat. Appl. (7) 47 (2026) 55-69;  pdf