Fluid Dynamics

, 44:748 | Cite as

Nonlinear waves propagating over a conducting ideal fluid surface in an electric field

  • I. N. Aliev
  • S. O. Yurchenko


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.


electrohydrodynamics nonlinear waves soliton Boussinesq equations Korteweg-de Vries equation Schrödinger equation 


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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  • I. N. Aliev
  • S. O. Yurchenko

There are no affiliations available

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