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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 5/2024

01.05.2024

On the solitonic structures for the fractional Schrödinger–Hirota equation

verfasst von: Fazal Badshah, Kalim U. Tariq, Mustafa Inc, Muhammad Zeeshan

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

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Abstract

In this article, the fractional Schrödinger–Hirota equation which is a generalization of the standard Schrödinger equation which, in particular, explain how soliton transmission behaves on fiber optic systems in physics when data is transmitted over long distances with a wide bandwidth. A collection of comprehensive soliton structures are developed to study the behaviour of the governing model with the aid of some efficient explicit strategies namely the \(\exp (-\psi (\zeta ))\)-expansion method and the Sardar sub-equation method. By transforming the original equation into a system of ordinary differential equations, it becomes possible to obtain explicit solutions with a high degree of accuracy. These solutions incorporate dark soliton and trigonometric function solutions, dark singular solition plane wave, singular solition, opposite singular solition, smooth, bell shaped, w-shaped periodic, bright, anti kink, singular bell shaped solitons and traveling wave structures.
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Metadaten
Titel
On the solitonic structures for the fractional Schrödinger–Hirota equation
verfasst von
Fazal Badshah
Kalim U. Tariq
Mustafa Inc
Muhammad Zeeshan
Publikationsdatum
01.05.2024
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-024-06447-y

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