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

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

Authors

  • Husniyah. A. Mohammed
    husniyah.mohammed@uob.edu.ly
    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
April 2, 2023

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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.