CONSTRUCTION OF FRACTAL SOLITON SOLUTIONS FOR THE FRACTIONAL EVOLUTION EQUATIONS WITH CONFORMABLE DERIVATIVE

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

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

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.

Keywords: Conformable Derivative; Fractal Soliton Solution; Fractional Functional Variable Method; Fractional Drinfeld–Sokolov System (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500147

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