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Profile of an Ion–Acoustic Solitary Wave in Plasma with Negative Ions

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Abstract

A method for numerical calculation of the profile of an ion–acoustic solitary wave in plasma with negative ions and, as a particular case, in electron–ion plasma is presented. New expressions analytically describing the profile of a low-amplitude compression solitary wave and that of a low-amplitude rarefaction solitary wave are derived. Profiles of solitary waves calculated using well-known expressions and expressions proposed in the present work are compared with each other and with corresponding profiles obtained by solving a complete system of equations describing the plasma. In a majority of cases, profiles calculated using the proposed expressions have the smallest deviation from the solution to the complete system of equations.

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Notes

  1. The value of unperturbed density of negative ions equal to \(n_{{j0}}^{*}\) is frequently referred to as the critical density in the literature. At the same time, we mentioned above that extreme possible values of amplitudes of solitary waves are commonly referred to as critical values starting from the work by Sagdeev [3]. To avoid any confusion, in the present work, we do not refer to density \(n_{{j0}}^{*}\) as critical.

  2. Note that, despite the fact that the curves may be very close to each other, the deviation between them should be estimated along the vertical axis, i.e., as a difference between the values of potential at one and the same value of z.

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  1. Joint Institute for High Temperatures, Russian Academy of Sciences, 125412, Moscow, Russia

    Yu. V. Medvedev

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Medvedev, Y.V. Profile of an Ion–Acoustic Solitary Wave in Plasma with Negative Ions. Plasma Phys. Rep. 48, 474–492 (2022). https://doi.org/10.1134/S1063780X22200053

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