Resonant optical soliton solutions for time-fractional nonlinear Schrodinger equation in optical fibers

Abstract
In this paper, several new optical soliton solutions of the time-fractional generalized resonant nonlinear Schr¨odinger equation, relevant to pulse propagation in optical fibers, are constructed using the extended simplest equation approach. The new exact solutions are expressed in terms of hyperbolic functions, trigonometric functions, and rational functions. Further, two-dimensional, three-dimensional, and contour graphs of king-type, wave, dark-bright, bright, and bell-shaped optical soliton solutions are plotted to elucidate the significance of the time-fractional generalized resonant nonlinear Schrodinger equation using appropriate values of physical parameters. The dynamic behavior of the present solutions, incorporating the effect of the conformable fractional derivative, is depicted through two-dimensional graphs. The derived optical solutions are considered novel and have presumably not been previously reported in the literature.

Author
Hajar Ismael

DOI
https://doi.org/10.1142/S0218863524500243

Publisher
Journal of Nonlinear Optical Physics & Materials

ISSN

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