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Soliton Solutions For The Two-Dimensional Local Fractional Boussinesq Equation

Author

Listed:
  • KUN YIN

    (Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China)

  • XINGJIE YAN

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

Abstract

In this work we study the two-dimensional local fractional Boussinesq equation. Based on the basic definitions and properties of the local fractional derivatives and bilinear form, we studied the soliton solutions of non-differentiable type with the generalized functions defined on Cantor sets by using bilinear method. Meanwhile, we discuss the result when fractal dimension is 1, and compare it with the result when fractal dimension is ln 2 ln 3.

Suggested Citation

  • Kun Yin & Xingjie Yan, 2024. "Soliton Solutions For The Two-Dimensional Local Fractional Boussinesq Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(04), pages 1-11.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:04:n:s0218348x23401254
    DOI: 10.1142/S0218348X23401254
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