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NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION

Author

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  • KANG-LE WANG

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

Abstract

This work suggests a fractional modification of the KdV–Kadomtsev–Petviashvili model with the beta-derivative to consider unsmooth boundary. Some new interesting solitary waves are found for the first time ever by the fractional sine–cosine method and the fractional ansatz method. These dynamical characteristics of new solitary waves are discussed by some three-dimensional (3D) figures, and the effect of the fractal parameters on the solitary waves traveling is also discussed and explained.

Suggested Citation

  • Kang-Le Wang, 2023. "NEW SOLITARY WAVE SOLUTIONS OF THE FRACTIONAL MODIFIED KdV–KADOMTSEV–PETVIASHVILI EQUATION," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(03), pages 1-12.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:03:n:s0218348x23500251
    DOI: 10.1142/S0218348X23500251
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    Cited by:

    1. Yang, Shanshan & Wang, Mengying & Zou, Mingqing & Sheng, Qiong & Cui, Ruike & Chen, Shuaiyin, 2023. "Permeability coupling model of multiple migration mechanisms in rough micro-fractures of shales," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Yang, Shanshan & Wang, Mengying & Zou, Mingqing & Sheng, Qiong & Cui, Ruike & Chen, Shuaiyin, 2023. "Gas transport law in inorganic nanopores considering the influence of cross section shape and roughness," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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