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Investigation Of The Time Fractional Generalized (2 + 1)-Dimensional Zakharov–Kuznetsov Equation With Single-Power Law Nonlinearity

Author

Listed:
  • JIAN-GEN LIU

    (School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, P. R. China)

  • YU-FENG ZHANG

    (School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, Jiangsu, P. R. China†School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China)

  • JING-JING WANG

    (��School of Mathematics, China University of Mining and Technology, Xuzhou 221116, Jiangsu, P. R. China)

Abstract

In this paper, we studied the time fractional generalized (2 + 1)-dimensional Zakharov–Kuznetsov (ZK) equation with single-power law nonlinearity, which can be used to describe weakly nonlinear ion-acoustic waves in strongly magnetized lossless plasma in two dimensions. Through the fractional Lie transformation group idea, the symmetries, similarity reduction, one-parameter Lie transformation group and conservation laws of these considered equations were obtained. In addition, some new exact solutions were also constructed for them. These novel results provide a new perspective for studying the evolutionary mechanism of these considered models.

Suggested Citation

  • Jian-Gen Liu & Yu-Feng Zhang & Jing-Jing Wang, 2023. "Investigation Of The Time Fractional Generalized (2 + 1)-Dimensional Zakharov–Kuznetsov Equation With Single-Power Law Nonlinearity," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(05), pages 1-14.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:05:n:s0218348x23500330
    DOI: 10.1142/S0218348X23500330
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