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High-Frequency Electrostatic Cnoidal Waves in Unmagnetized Plasma

  • General and Applied Physics
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Abstract

In this paper, the propagation of high frequency electrostatic electron-acoustic cnoidal waves (EACWs) is investigated in an unmagnetized homogenous plasma consisting of inertial cold electrons and inertialess Maxwellian hot electrons with stationary ions in the background. The fluid theory with the method of the reductive perturbation is applied for deriving the evolution equations (including Korteweg-de Vries (KdV)-type equation and Kawahara equation). The cnoidal wave (CW) solutions to the evolution equations are determined. The effect of the physical plasma parameter, namely, the density ratio of hot to cold electrons on the characteristic features of EACWs, is examined. In the limiting case, the CW solutions can be reduced to the soliton solutions. The comparison between the CW profile for the KdV-type equation and Kawahara equation is reported.

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Data Availability

The authors declare that all data supporting the present study are available within the article.

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Acknowledgements

The authors express their gratitude to Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2023R32), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

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Authors and Affiliations

  1. Department of Physics, Government Post Graduate College Swabi, Swabi, 23431, Pakistan

    Muhammad Khalid

  2. Department of Physics, Islamia College Peshawar, Peshawar, 25120, Pakistan

    Ata-ur-Rahman & Rashid Minhas

  3. Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia

    Badriah M. Alotaibi

  4. Department of Physics, Faculty of Science, Port Said University, Port Fuad, 42521, Egypt

    S. A. El-Tantawy

  5. Research Center for Physics (RCP), Department of Physics, Faculty of Science and Arts, Al-Mikhwah, Al-Baha University, Al-Baha, 1988, Saudi Arabia

    S. A. El-Tantawy

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  1. Muhammad Khalid
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Correspondence to Muhammad Khalid.

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Khalid, M., Ata-ur-Rahman, Minhas, R. et al. High-Frequency Electrostatic Cnoidal Waves in Unmagnetized Plasma. Braz J Phys 54, 20 (2024). https://doi.org/10.1007/s13538-023-01369-8

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