model equations for three-dimensional nonlinear water waves under tangential electric field

Clicks: 112
ID: 166970
2017
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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.
Reference Key
tao2017advancesmodel Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Bo Tao
Journal theater
Year 2017
DOI
10.1155/2017/9312681
URL
http://dx.doi.org/10.1155/2017/9312681
Keywords
physics

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