TRAVELING WAVE SOLUTION OF FRACTAL KdV-BURGERS–KURAMOTO EQUATION WITHIN LOCAL FRACTIONAL DIFFERENTIAL OPERATOR

Jianshe Sun
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Jianshe Sun: School of Mathematics, Jiaozuo Teachers College, Jiaozuo 454150, P. R. China2Institute of Mathematics and Interdisciplinary Science, Jiaozuo Teachers College Jiaozuo 454150, P. R. China3School of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 07, 1-10

Abstract: In this work, space-time fractal model about nonlinear KdV-Burgers–Kuramoto (NKBK) equation which describes nonlinear physical phenomena and involves instability, dissipation, and dispersion parameters has been put forward through coupling fractional complex transform (FCT) via local fractional derivative (LFD) for the first time. These measures are considered in the sense of local derivative operators. Analytical approximate solutions of the model are obtained by local fractional reduced differential transform method (LFRDTM). The obtained results related to physical phenomenon in Cantorian time-space reveal that the suggested project is easy to use and the calculation is more precise. The graphical representation of special solution of LFNKBK yields interesting and better physical consequences of NKBK with LFD.

Keywords: Local Fractional Derivative; Fractal Space; Local Fractional Reduced Differential Transform Method; Approximate Analytical Solution; KdV-Burgers–Kuramoto Equation (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502315

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