FRACTAL SOLITARY WAVE SOLUTIONS FOR FRACTAL NONLINEAR DISPERSIVE BOUSSINESQ-LIKE MODELS

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 04, 1-8

Abstract: In this study, the fractal nonlinear dispersive Boussineq-like equation is investigated by variational perspective for the first time. The fractal variational principle of the fractal Boussineq-like equation is established via fractal semi-inverse method (FSM). Based on the fractal variational principle, variational transform method (VTM) is proposed to find the exact fractal solitary wave solution for the fractal nonlinear dispersive Boussineq-like equation. The numerical examples illustrate the novel scheme is very simple and efficient. Moreover, some physical properties of fractal solitary wave solutions are illustrated by some simulation graphics.

Keywords: Variational Principle; Fractal Solitary Wave Solution; Fractal Semi-Inverse Method; Fractal Calculus (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22500839

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