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INVESTIGATION OF THE FRACTIONAL KdV–ZAKHAROV–KUZNETSOV EQUATION ARISING IN PLASMA PHYSICS

Author

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  • KANG-LE WANG

    (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China)

Abstract

The KdV–Zakharov–Kuznetsov equation is an important and interesting mathematical model in plasma physics, which is used to describe the effect of magnetic field on weak nonlinear ion-acoustic waves. A fractional KdV–Zakharov–Kuznetsov equation in the M-truncated derivative sense is investigated. By taking into account the fractional tanhδ method and fractional sin eδ–cosineδ method, larger numbers of a new type of solitary wave solutions are obtained. The dynamic characteristics of these new solitary wave solutions are elaborated by sketching some three-dimensional (3D) and two-dimensional (2D) figures. The study reveals that the proposed two methods are very powerful to solve fractional evolution equations.

Suggested Citation

  • Kang-Le Wang, 2023. "INVESTIGATION OF THE FRACTIONAL KdV–ZAKHAROV–KUZNETSOV EQUATION ARISING IN PLASMA PHYSICS," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x23500652
    DOI: 10.1142/S0218348X23500652
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    Cited by:

    1. Yokuş, Asıf & Duran, Serbay & Kaya, Dogan, 2024. "An expansion method for generating travelling wave solutions for the (2 + 1)-dimensional Bogoyavlensky-Konopelchenko equation with variable coefficients," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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