1. On the solitonic structures for the fractional Schrödinger–Hirota equation.
- Author
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Badshah, Fazal, Tariq, Kalim U., Inc, Mustafa, and Zeeshan, Muhammad
- 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 (- ψ (ζ)) -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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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