Analyzing Approximate and Exact Wave Solutions of Optical Fibres in the Time-fractional Estevez-Mansfield-Clarkson Equation

Authors

  • Bushra Yasmeen Air University, Islamabad, Pakistan
  • Khalil Ahmad Air University, Islamabad, Pakistan
  • Nahid Fatima Prince Sultan University, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5893

Keywords:

Nonlinear differential equations, stability analysis, rescaling method, fractional calculus, traveling wave transformation.

Abstract

The study aims to employ the dynamics of hyperbolic and solitons wave solutions to the time-fractional Estevez-Mansfield Clarkson equation, which is utilize to stimulate the optical fibre waves in communication system and image processing. The proposed method entails transforming nonlinear fractional partial differential equations into nonlinear ordinary differential equations. Various solutions for the current model are derived in the form of exponential and trigonometric functions. The 2D and 3D under some suitable values of parameters are also plotted. The accomplished solutions show that these are reliable, applicable, efficient and intricate dynamics inherent in the communication system, image processing and might be used in further works to found novel solutions for other types of nonlinear evolution equations ascending in physical science and engineering. The novelty of our result is to offer new and critical insights into the intricate wave behaviors of the time-fractional Estevez-Mansfield-Clarkson equation by illustrating the basic mechanics of the importance of waves interaction and propagation in optical fibres in deepening our knowledge about the basic physical model.

Author Biographies

  • Bushra Yasmeen, Air University, Islamabad, Pakistan

    Department of Mathematics, Faculty of Basic and Applied Sciences, Air University, PAF Complex E-9, Islamabad 44000, Pakistan 

  • Khalil Ahmad, Air University, Islamabad, Pakistan

     Department of Mathematics, Faculty of Basic and Applied Sciences, Air University, PAF Complex E-9, Islamabad 44000, Pakistan.

  • Nahid Fatima, Prince Sultan University, Saudi Arabia

    Department of Mathematics and Sciences, Prince Sultan University, P.O.Box No. 66833, Rafha Street, Riyadh 11586, Saudi Arabia

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Nonlinear Analysis

License

Copyright (c) 2025 Bushra Yasmeen, Khalil Ahmad, Nahid Fatima

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How to Cite

Analyzing Approximate and Exact Wave Solutions of Optical Fibres in the Time-fractional Estevez-Mansfield-Clarkson Equation. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5893. https://doi.org/10.29020/nybg.ejpam.v18i2.5893