Nonlinear waves propagating over a conducting ideal fluid surface in an electric field |
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Authors: | I. N. Aliev S. O. Yurchenko |
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Affiliation: | (1) Laboratoire Ondes et Milieux Complexes, Fre CNRS 3102, Le Havre Cedex, France; |
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Abstract: | For wave perturbations of a heavy conducting fluid in an electric field orthogonal to the undisturbed surface evolutionary equations quadratically nonlinear in amplitude are obtained. Equations for the long-wave approximation are derived. A method of deriving the nonlinear and simple-wave equations is proposed. Solutions for solitary waves are considered. It is shown that even a weak electric field significantly affects the form of the soliton solution, which is related with fundamental changes in the spectrum of the linear waves. |
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