SOLITON SOLUTIONS FOR THE TWO-DIMENSIONAL LOCAL FRACTIONAL BOUSSINESQ EQUATION

Kun Yin () and Xingjie Yan
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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

FRACTALS (fractals), 2024, vol. 32, issue 04, 1-11

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.

Keywords: Local Fractional Boussinesq Equation; Bilinear Method; Local Fractional Derivatives; Soliton Solution (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X23401254

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