The modified exponential function method for beta time fractional Biswas-Arshed equation. (English) Zbl 1532.81087
Summary: In this study, the exact solutions of the Biswas-Arshed equation with the beta time derivative, which has an important role and physically means that it represents the pulse propagation in an optical fiber, nuclear, and particle physics, are obtained using the modified exponential function method. Exact solutions consisting of hyperbolic, trigonometric, rational trigonometric, and rational function solutions demonstrate the competence and relevance of the proposed method. In addition, the physical properties of the obtained exact solutions are shown by making graphical representations according to different parameter values. It is seen that the method used is an effective technique, since these solution functions obtained with all these cases have periodic function properties.
MSC:
| 81V35 | Nuclear physics |
| 35Q41 | Time-dependent Schrödinger equations and Dirac equations |
| 78A50 | Antennas, waveguides in optics and electromagnetic theory |
| 33B10 | Exponential and trigonometric functions |
| 14D15 | Formal methods and deformations in algebraic geometry |
| 81Q80 | Special quantum systems, such as solvable systems |
| 65S05 | Graphical methods in numerical analysis |
| 03D45 | Theory of numerations, effectively presented structures |
| 35B10 | Periodic solutions to PDEs |
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