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Title: Nonlinear waves on the free surface of a dielectric liquid in an oblique electric field

The nonlinear dynamics of the free surface of an ideal dielectric liquid that is exposed to an external oblique electric field has been studied theoretically. In the framework of the Hamiltonian formalism, a system of nonlinear integro-differential equations has been derived that describes the dynamics of nonlinear waves in the small-angle approximation. It is established that for a liquid with high dielectric permittivity, these equations have a solution in the form of plane waves of arbitrary shape that propagate without distortion in the direction of the horizontal component of the external field.
Authors:
; ;  [1]
  1. Ural Branch, Russian Academy of Sciences, Institute of Electrophysics (Russian Federation)
Publication Date:
OSTI Identifier:
22472067
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 121; Journal Issue: 3; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIELECTRIC MATERIALS; ELECTRIC FIELDS; HAMILTONIANS; INTEGRO-DIFFERENTIAL EQUATIONS; LIQUIDS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PERMITTIVITY; SURFACES; WAVE PROPAGATION