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Nonlinear extraordinary wave in dense plasma

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Abstract

Conditions for the propagation of a slow extraordinary wave in dense magnetized plasma are found. A solution to the set of relativistic hydrodynamic equations and Maxwell’s equations under the plasma resonance conditions, when the phase velocity of the nonlinear wave is equal to the speed of light, is obtained. The deviation of the wave frequency from the resonance frequency is accompanied by nonlinear longitudinal-transverse oscillations. It is shown that, in this case, the solution to the set of self-consistent equations obtained by averaging the initial equations over the period of high-frequency oscillations has the form of an envelope soliton. The possibility of excitation of a nonlinear wave in plasma by an external electromagnetic pulse is confirmed by numerical simulations.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    V. B. Krasovitskiy

  2. Russian University of Peoples’ Friendship, ul. Miklukho-Maklaya 6, Moscow, 117198, Russia

    V. A. Turikov

Authors
  1. V. B. Krasovitskiy
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  2. V. A. Turikov
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Correspondence to V. B. Krasovitskiy.

Additional information

Original Russian Text © V.B. Krasovitskiy, V.A. Turikov, 2013, published in Fizika Plazmy, 2013, Vol. 39, No. 10, pp. 935–941.

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Krasovitskiy, V.B., Turikov, V.A. Nonlinear extraordinary wave in dense plasma. Plasma Phys. Rep. 39, 836–842 (2013). https://doi.org/10.1134/S1063780X13090031

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  • DOI: https://doi.org/10.1134/S1063780X13090031

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