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NEW FRACTAL SOLITON SOLUTIONS FOR THE COUPLED FRACTIONAL KLEIN–GORDON EQUATION WITH β-FRACTIONAL DERIVATIVE

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

FRACTALS (fractals), 2023, vol. 31, issue 01, 1-10

Abstract: In this paper, we derive some novel fractal soliton solutions of the coupled fractional Klein–Gordon equation with the β-fractional derivative via two efficient methods, which are fractal functional variable method and fractal sech-function method. The two new mathematical schemes are quite concise and effective, and then numerous new exact fractal soliton solutions of other nonlinear fractal evolution equations can be obtained. Finally, some 3D figures are sketched to describe these new fractal soliton solutions.

Keywords: β-Fractional Derivative; Fractal Soliton Solution; Fractal Sech-Function Method; Fractional Klein–Gordon Equation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500032

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