NEW PROMISING AND CHALLENGES OF THE FRACTIONAL CALOGERO–BOGOYAVLENSKII–SCHIFF EQUATION

Kang-Le Wang ()
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Kang-Le Wang: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 09, 1-11

Abstract: The Calogero–Bogoyavlenskii–Schiff equation is an important nonlinear evolution model to describe the propagation of Riemann waves. A fractional Calogero–Bogoyavlenskii–Schiff is described based on the conformable derivative for the first time. Some new soliton solutions are acquired with the aid of the extended fractional csc hα function method and fractional variable method. The two novel mathematical methods are very efficient and concise, which can also be utilized to solve other fractional evolution equations. Furthermore, these derived soliton solutions are illustrated by some 3D and 2D graphs with different fractal parameters and fractal dimensions, which might be helpful to study in plasma physics.

Keywords: Conformable Derivative; Fractional Calogero–Bogoyavlenskii–Schiff Equation; Soliton Solution; Fractional cschα Function Method (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23501104

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