Abstract
This study is devoted to the construction of some numerical solutions to the previously proposed model equations for three-dimensional disturbances of a small but finite amplitude in liquids of a constant depth. The forms of progressive steady-state waves (both periodic in two horizontal coordinates and solitary) are demonstrated. In a homogeneous liquid, these forms depend on the magnitudes and directions of the wave vectors, whereas, in bodies of water with a small density jump, they also depend on the ratio of layer depths.
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Original Russian Text © A.A. Bocharov, G.A. Khabakhpashev, O.Yu. Tsvelodub, 2008, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2008, Vol. 44, No. 4, pp. 543–552.
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Bocharov, A.A., Khabakhpashev, G.A. & Tsvelodub, O.Y. Numerical solution of the equations for spatial nonlinear steady-state traveling waves on the free surfaces of homogeneous and two-layer bodies of water. Izv. Atmos. Ocean. Phys. 44, 507–516 (2008). https://doi.org/10.1134/S0001433808040117
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DOI: https://doi.org/10.1134/S0001433808040117