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The Modified Exponential Function Method for Beta Time Fractional Biswas‐Arshed Equation

Author

Listed:
  • Yusuf Pandir
  • Tolga Akturk
  • Yusuf Gurefe
  • Hussain Juya

Abstract

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.

Suggested Citation

  • Yusuf Pandir & Tolga Akturk & Yusuf Gurefe & Hussain Juya, 2023. "The Modified Exponential Function Method for Beta Time Fractional Biswas‐Arshed Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    • Handle: RePEc:wly:jnlamp:v:2023:y:2023:i:1:n:1091355
    DOI: 10.1155/2023/1091355
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    References listed on IDEAS

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    2. Arikoglu, Aytac & Ozkol, Ibrahim, 2007. "Solution of fractional differential equations by using differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1473-1481.
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