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Copious Closed Forms of Solutions for the Fractional Nonlinear Longitudinal Strain Wave Equation in Microstructured Solids

Authors :
Raghda A. M. Attia
Haiyong Qin
Mostafa M. A. Khater
Source :
Mathematical Problems in Engineering, Vol 2020 (2020)
Publication Year :
2020
Publisher :
Hindawi Limited, 2020.

Abstract

A computational scheme is employed to investigate various types of the solution of the fractional nonlinear longitudinal strain wave equation. The novelty and advantage of the proposed method are illustrated by applying this model. A new fractional definition is used to convert the fractional formula of these equations into integer-order ordinary differential equations. Soliton, rational functions, the trigonometric function, the hyperbolic function, and many other explicit wave solutions are obtained.

Details

ISSN :
15635147 and 1024123X
Volume :
2020
Database :
OpenAIRE
Journal :
Mathematical Problems in Engineering
Accession number :
edsair.doi.dedup.....cf56718d390fe73bf317d67196cb06eb
Full Text :
https://doi.org/10.1155/2020/3498796