EXACT TRAVELING WAVE SOLUTION FOR THE FRACTAL RIEMANN WAVE MODEL ARISING IN OCEAN SCIENCE

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

FRACTALS (fractals), 2022, vol. 30, issue 07, 1-8

Abstract: In this paper, we investigate the Riemann wave model (RWM) on Cantor sets by using the local fractional derivative (LFD). A novel computational approach is provided to seek the exact traveling-wave solution of the non-differential type for the local fractional Riemann wave model (LFRWM). The proposed scheme is called local fractional traveling-wave method (LFTWM). An example is given to illustrate that the LFTWM is simple and excellent. The properties of the obtained traveling-wave solutions are elaborated by some 3D graphs. The LFTWM sheds a new light on solving the local fractional wave equations (LFWE) in physics and engineering.

Keywords: Fractal Dimension; Riemann Wave Equation; Local Fractional Derivative; Cantor Sets; Local Fractional Traveling-Wave Method (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0218348X22501432

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