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Instability of Dust–Acoustic Waves in Plasmas with Two-Temperature Nonthermal Ions

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Abstract—

Theoretical and numerical investigations are carried out for the instability of the dust–acoustic waves (DAWs) under the transverse perturbation in a magnetized dusty plasma with two-temperature nonthermal ions. By the reductive perturbation technique, the Zakharov–Kuznetsov (ZK) equation and modified ZK equation of the DAWs are derived. Under the higher-order transverse perturbations, the instability growth rate of the soliton solutions of the ZK equations is studied. It is found that the most unstable wave mode exists in system. It is also noted that solitary waves are unstable when the ratio of the perturbation wave length to solitary wave width in the experimental coordinate is larger than a certain critical value.

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Funding

This work was supported by the Young Teachers Research Fund of Lanzhou City University (no. LZCU-QN2018-06) and the Doctoral Research Fund of Lanzhou City University (no. LZCU-BS2018-13).

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Authors and Affiliations

  1. College of Electronic and Information Engineering, Lanzhou City University, 730000, Lanzhou, China

    D.-N. Gao & J.-B. Yue

  2. The No. 1 Middle School of Lanzhou Chemical and Industry Corporation, 7300030, Lanzhou, China

    J.-P. Wu

  3. College of Physics and Electronic Engineering, Northwest Normal University, 730070, Lanzhou, China

    W.-Sh. Duan & Zh.-Zh. Li

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  1. D.-N. Gao
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  2. J.-B. Yue
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  3. J.-P. Wu
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  4. W.-Sh. Duan
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  5. Zh.-Zh. Li
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Correspondence to D.-N. Gao.

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Gao, DN., Yue, JB., Wu, JP. et al. Instability of Dust–Acoustic Waves in Plasmas with Two-Temperature Nonthermal Ions. Plasma Phys. Rep. 47, 48–53 (2021). https://doi.org/10.1134/S1063780X21010062

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  • DOI: https://doi.org/10.1134/S1063780X21010062

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