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Copious Closed Forms of Solutions for the Fractional Nonlinear Longitudinal Strain Wave Equation in Microstructured Solids
- 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.
- Subjects :
- Physics
Article Subject
General Mathematics
Mathematical analysis
Hyperbolic function
General Engineering
Rational function
Engineering (General). Civil engineering (General)
Wave equation
01 natural sciences
010305 fluids & plasmas
Nonlinear system
Scheme (mathematics)
Ordinary differential equation
0103 physical sciences
QA1-939
Trigonometric functions
Soliton
TA1-2040
010306 general physics
Mathematics
Subjects
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