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Optical and Quantum Electronics

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01.08.2023

Stability analysis and dispersive optical solitons of fractional Schrödinger–Hirota equation

verfasst von: Sonia Akram, Jamshad Ahmad, Shafqat Ur Rehman, Tayyaba Younas

Erschienen in: Optical and Quantum Electronics | Ausgabe 8/2023

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Abstract

In this article, we investigate the generalised version of the nonlinear Schrödinger equation namely the fractional Schrödinger–Hirota (NLFSH) equation with third order dispersion and Kerr law of nonlinearity, which describes the dynamics of optical solitons in a dispersive optical fiber. An amelioration of the approaches, namely the improved F-expansion approach and the unified method, are used to formulate the abundant optical solitons. After that, utilizing the aforementioned techniques and computational software, different optical solitons are retrieved, including dark, singular, periodic, rational, hyperbolic solitary wave, and trigonometric function solutions. Secondly, we discuss the stability analysis of our selected model which confirm that the governing model is stable. Additionally, the acquired results demonstrate that the suggested strategies have a significant ability to successfully acquire numerous fresh soliton type solutions for the NLFSH equation. For certain values of the required free parameters, the dynamical behaviours of these solutions are visualised in 2D and 3D using Mathematica 13.0. The acquired findings demonstrate the power, effectiveness, and simplicity of the suggested strategies for finding novel solutions to diverse classes of nonlinear partial differential equations in optical engineering and applied sciences.

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Titel: Stability analysis and dispersive optical solitons of fractional Schrödinger–Hirota equation
verfasst von: Sonia Akram
Jamshad Ahmad
Shafqat Ur Rehman
Tayyaba Younas
Publikationsdatum: 01.08.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 8/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-04942-2

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