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• W2767968654 abstract "We are concerned with gravity-capillary waves propagating on the surface of a three-dimensional electrified liquid sheet under a uniform electric field parallel to the undisturbed free surface. For simplicity, we make an assumption that the permittivity of the fluid is much larger than that of the upper-layer gas; hence, this two-layer problem is reduced to be a one-layer problem. In this paper, we propose model equations in the shallow-water regime based on the analysis of the Dirichlet-Neumann operator. The modified Benney-Luke equation and Kadomtsev-Petviashvili equation will be derived, and the truly three-dimensional fully localized traveling waves, which are known as “lumps” in the literature, are numerically computed in the Benney-Luke equation." @default.
• W2767968654 created "2017-11-17" @default.
• W2767968654 creator A5021500950 @default.
• W2767968654 date "2017-01-01" @default.
• W2767968654 modified "2023-09-25" @default.
• W2767968654 title "Model Equations for Three-Dimensional Nonlinear Water Waves under Tangential Electric Field" @default.
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• W2767968654 doi "https://doi.org/10.1155/2017/9312681" @default.
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