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On the new wave solutions to a nonlinear model arising in plasma physics

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Abstract.

In this paper, we utilize the sine-Gordon expansion method and construct some travelling wave solutions to the (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation which arises in plasma physics. We successfully obtain some hyperbolic function solutions to this equation. By choosing some suitable values of parameters, we perform the numerical simulation of all the obtained solutions in this study. We observed that our result may be useful in detecting some ion-acoustic waves behaviors in a magnetized plasma. All the computations and graphic plots in this article are performed with the aid of the Mathematica package.

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Authors and Affiliations

  1. Faculty of Education, Erciyes University, Kayseri, Turkey

    Onur Alp Ilhan

  2. Department of Mathematics, Firat University, Elazig, Turkey

    Tukur Abdulkadir Sulaiman & Hasan Bulut

  3. Department of Computer Engineering, Munzur University, Tunceli, Turkey

    Haci Mehmet Baskonus

Authors
  1. Onur Alp Ilhan
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  2. Tukur Abdulkadir Sulaiman
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  3. Hasan Bulut
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  4. Haci Mehmet Baskonus
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Correspondence to Onur Alp Ilhan.

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Ilhan, O.A., Sulaiman, T.A., Bulut, H. et al. On the new wave solutions to a nonlinear model arising in plasma physics. Eur. Phys. J. Plus 133, 27 (2018). https://doi.org/10.1140/epjp/i2018-11858-6

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  • DOI: https://doi.org/10.1140/epjp/i2018-11858-6

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