SOLITARY WAVE DYNAMICS OF THE LOCAL FRACTIONAL BOGOYAVLENSKY–KONOPELCHENKO MODEL

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 05, 1-9

Abstract: In this study, the local fractional derivative is employed to build the fractional Bogoyavlensky–Konopelchenko model, which is then used to develop the interaction between long wave propagation and Riemann wave propagating under particular conditions. The major goal of this study is to obtain some new solitary wave solutions of the local fractional Bogoyavlensky–Konopelchenko model using two effective methods, the Yang–Machado–Baleanu–Cattain wave method (YMBCWM) and fractional sech function method (FSFM). These obtained solitary wave solutions are unique from those found in the literature. Several 3D simulation figures show the dynamic behavior of these new solitary wave solutions. The two novel approaches bring new perspectives for resolving the same class of fractional wave equations.

Keywords: Local fractional derivative; Bogoyavlensky–Konopelchenko model; Yang–Machado–Baleanu–Cattain wave method; fractional sech function method (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23500548

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