This article is cited in 32 papers

NONLINEAR DYNAMICS

Nonlinear waves on the surface of a dielectric liquid in a horizontal electric field in 3D geometry: Exact solutions

N. M. Zubarev

Institute of Electrophysics, Urals Branch, Russian Academy of Sciences

Abstract: It has been shown that waves of arbitrary configuration in 3D geometry may propagate without distortion along the surface of a dielectric liquid in the direction of a horizontal electric field. This situation occurs for the high-permittivity liquids in the case of a sufficiently high external field when the effect of electrostatic forces dominates. A general solution of the equations of motion that describes the interaction of counterpropagating waves of a small but finite amplitude has been obtained.

PACS: 47.35.+i, 47.65.-d

Received: 10.02.2009
Revised: 18.02.2009

 English version: Journal of Experimental and Theoretical Physics Letters, 2009, 89:6, 271–274

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