Nonlinear equation for Farley–Buneman waves in multispecies plasma


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Abstract

The nonlinear equation describing the Farley–Buneman (FB) waves in multispecies collisional plasmas is derived by employing the multiple-scale reduction analysis. It is shown that the presence of several ion species with different collisionalities and different ion masses removes the degeneracy of the nonlinear equation and generates the nonlinear terms resulting in wave steepening and wave breaking. This effect may be responsible for formation of one-dimensional coherent FB waves of a finite amplitude.

About the authors

W. Horton

Institute for Fusion Studies

Email: Andrei.smolyakov@usask.ca
United States, Austin, TX

S. K. Litt

Department of Physics and Engineering Physics

Email: Andrei.smolyakov@usask.ca
Canada, Saskatchewan

A. I. Smolyakov

Department of Physics and Engineering Physics; National Research Centre Kurchatov Institute

Author for correspondence.
Email: Andrei.smolyakov@usask.ca
Canada, Saskatchewan; pl. Akademika Kurchatova 1, Moscow, 123182

A. S. Bains

Department of Physics and Engineering Physics

Email: Andrei.smolyakov@usask.ca
Canada, Saskatchewan

O. A. Pokhotelov

Schmidt Institute of Physics of the Earth

Email: Andrei.smolyakov@usask.ca
Russian Federation, ul. Bol’shaya Gruzinskaya 10, Moscow, 123242

O. G. Onishchenko

Schmidt Institute of Physics of the Earth; Space Research Institute

Email: Andrei.smolyakov@usask.ca
Russian Federation, ul. Bol’shaya Gruzinskaya 10, Moscow, 123242; Profsoyuznaya ul. 84/32, Moscow, 117997

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