Optical Solitons in Fiber Bragg Gratings for Fractional Nonlinear Schrödinger Equation with Generalized Anti-cubic Nonlinearity using Conformable Derivative

Authors

  • Husniyah. A. Mohammed Department of Mathematics, Faculty of Arts & Science AL Kufrah, University of Benghazi, Libya
  • Abdulmalik. A. Altwaty Department of Mathematics, Faculty of Arts & Science AL Kufrah, University of Benghazi, Libya

DOI:

https://doi.org/10.32996/jmss.2023.4.2.1

Keywords:

Solitons, fractional generalized anti-cubic nonlinearity, Bragg gratings, the rational fractional ((D_ζ^α G)/G)-expansion method.

Abstract

This work explores Kink soliton solution, periodic soliton solution, and rational function solutions for the fractional generalized anti-cubic (FGAC) nonlinearity in fiber Bragg gratings (BGs). The rational fractional ((D_ζ^α G)/G)-expansion method is employed in conjunction with the idea of a conformable fractional derivative. Due to its nature, the soliton solution looks to have some restrictions.

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Published

2023-04-02

Issue

Vol. 4 No. 2

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Mohammed, H. A., & Altwaty, A. A. (2023). Optical Solitons in Fiber Bragg Gratings for Fractional Nonlinear Schrödinger Equation with Generalized Anti-cubic Nonlinearity using Conformable Derivative. Journal of Mathematics and Statistics Studies, 4(2), 01-13. https://doi.org/10.32996/jmss.2023.4.2.1