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Construction Of Fractal Soliton Solutions For The Fractional Evolution Equations With Conformable Derivative

Author

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  • KANGLE WANG

    (School of Mathematics and Information Science, Henan Polytechnic University, JiaoZuo 454000, P. R. China)

Abstract

In this paper, the fractional evolutions are described by using the conformable derivative for the first time. We implement fractional functional variable method (FFVM) to obtain some new kinds of fractal soliton wave solutions for these fractional evolution equations. The simplicity and effectiveness of this proposed method are tested on the fractional Drinfeld–Sokolov system and fractional cubic Klein–Gordon equation. The FFVM provides a new perspective to construct exact fractal soliton wave solutions of complex fractional nonlinear evolution equations in mathematical physics.

Suggested Citation

  • Kangle Wang, 2023. "Construction Of Fractal Soliton Solutions For The Fractional Evolution Equations With Conformable Derivative," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(01), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:01:n:s0218348x23500147
    DOI: 10.1142/S0218348X23500147
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