A NOVEL COMPUTATIONAL APPROACH FOR FRACTAL NONLINEAR POCHHAMMER–CHREE MODEL

Juan Liu ()
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Juan Liu: School of Mathematics and Information Science, Henan Polytechnic University, 454000 Jiaozuo, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 07, 1-10

Abstract: The purpose of this paper is to establish a novel algorithm to find the fractal solitary wave solution for fractal nonlinear Pochhammer–Chree model based on fractal variational theory, which is called variational transform method (VTM). The numerical examples are given to reveal the effectiveness and simplicity of the proposed method. Finally, some physical properties of the obtained fractal traveling wave solutions are illustrated by some graphs. The novel method sheds a new light on the fractal soliton theory.

Keywords: Fractal Variational Principle; Fractal Solitary Solution; Fractal Calculus; Variational Transform Method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22501596

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