Optical solitons with fractional temporal evolution in fiber bragg gratings with generalized anti-cubic nonlinearity by the fractional Riccati method

Altwaty, Abdulmalik A.; Hassan, Syed Tajuddin Syed; Masry, Bader R.K.

doi:10.1016/j.rinp.2021.103872

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2024

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Cited by 4 publications

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“…This causes pulse splitting in optical fiber, and the governing equations become vector-coupled equations. A wide variety of techniques are available, including the symmetry method [Kumar, et al 2019], the rational ( 𝐺 ′ 𝐺 )-expansion method [Akbar, 2019], the generalized ( 𝐺 ′ 𝐺 )expansion method [Foroutan, 2018], the rational fractional ( 𝐷 𝜁 𝛼 𝐺 𝐺 )-expansion method [Atwaty, 2021] have been formulated to achieve exact solutions of NLSE.…”

Section: Introductionmentioning

confidence: 99%

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

Mohammed

Altwaty

2023

jmss

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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.

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