Journal
FLUID DYNAMICS
Volume 43, Issue 1, Pages 118-124Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0015462808010134
Keywords
gravity waves; two-layer fluid; nonlinear perturbations; periodic waves; three-dimensional perturbations
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The solution of a model differential equation for the three-dimensional perturbations of the interface between two immiscible fluids of different densities lying between a stationary nondeformable bottom and cover is presented. It is assumed that the waves have an arbitrary length and small, though finite, amplitude. The shapes of stationary traveling internal waves, both periodic in the two horizontal coordinates and soliton-like, are presented. These shapes depend on different parameters of the problem: the direction of the perturbation wave vector and the fluid layer depth and density ratios.
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