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Research Article

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

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.

Article information

Journal

Journal of Mathematics and Statistics Studies

Volume (Issue)

4 (2)

Pages

01-13

Published

2023-04-02

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

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Keywords:

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