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Nonlinear waves on the surface of a charged liquid. Instability, bifurcation, and nonequilibrium shapes of the charged surface

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Abstract

Plane nonlinear waves in shallow water are described by the Kortewegde Vries equation [1–3]. The present paper contains theoretical investigations of nonlinear waves and nonlinear equilibrium shapes on the surface of a charged liquid. The influence of the field on the velocity and shape of a hydrodynamic soliton is considered. The bifurcation of the equilibrium shapes is investigated. Problems of the equilibrium shapes of a charged liquid are solved in the nonlinear formulation of the dynamics of nonlinear solitary forms (lunes, trenches) on the surface.

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Authors and Affiliations

  1. Khar'kov

    A. I. Zhakin

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  1. A. I. Zhakin
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 94–102, May–June, 1984.

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Zhakin, A.I. Nonlinear waves on the surface of a charged liquid. Instability, bifurcation, and nonequilibrium shapes of the charged surface. Fluid Dyn 19, 422–430 (1984). https://doi.org/10.1007/BF01093907

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  • DOI: https://doi.org/10.1007/BF01093907

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