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Nonlinear theory of ion-sound waves in a dusty electron-positron-ion plasma

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Abstract

A theory of ion-sound waves in a dusty electron-positron-ion plasma is developed. It is shown in the linear approximation that periodic waves exist in a bounded range of parameters. The expression for the sound velocity is derived and the dependence of the velocity on the space charge of dust particles is analyzed. In the nonlinear theory, the general exact solution is obtained, which is then analyzed using the Bernoulli pseudopotential method. Particular solutions are obtained in the form of nonlinear periodic waves, large-amplitude periodic waves (superlinear waves), and solitary compression and rarefaction waves (solitons).

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Authors and Affiliations

  1. Sarov State Physicotechnical Institute, National Research Nuclear University “Moscow Engineering Physics Institute”, Sarov, Nizhni Novgorod oblast, 607186, Russia

    A. E. Dubinov, D. Yu. Kolotkov & M. A. Sazonkin

Authors
  1. A. E. Dubinov
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  2. D. Yu. Kolotkov
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  3. M. A. Sazonkin
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Correspondence to A. E. Dubinov.

Additional information

Original Russian Text © A.E. Dubinov, D.Yu. Kolotkov, M.A. Sazonkin, 2012, published in Zhurnal Tekhnicheskoi Fiziki, 2012, Vol. 82, No. 5, pp. 7–15.

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Dubinov, A.E., Kolotkov, D.Y. & Sazonkin, M.A. Nonlinear theory of ion-sound waves in a dusty electron-positron-ion plasma. Tech. Phys. 57, 585–593 (2012). https://doi.org/10.1134/S1063784212050088

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  • DOI: https://doi.org/10.1134/S1063784212050088

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