Copious Closed Forms of Solutions for the Fractional Nonlinear Longitudinal Strain Wave Equation in Microstructured Solids
| Autor: | Raghda A. M. Attia, Haiyong Qin, Mostafa M. A. Khater |
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| Rok vydání: | 2020 |
| Předmět: |
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 |
| Zdroj: | Mathematical Problems in Engineering, Vol 2020 (2020) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2020/3498796 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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