On the solitonic structures for the fractional Schrodinger-Hirota equation

被引:1
|
作者
Badshah, Fazal [1 ]
Tariq, Kalim U. [2 ]
Inc, Mustafa [3 ,4 ,5 ]
Zeeshan, Muhammad [2 ]
机构
[1] Hubei Univ Automot Technol, Sch Elect & Informat Engn, Shiyan 442002, Peoples R China
[2] Mirpur Univ Sci & Technol, Dept Math, Mirpur 10250, Ajk, Pakistan
[3] Biruni Univ, Dept Comp Engn, TR-34010 Istanbul, Turkiye
[4] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkiye
[5] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
关键词
The Schrodinger equation; Analytical solutions; Nonlinearity; Fractional derivatives; Nonlinear optics; The Sardar sub-equation method and the exp(-psi(zeta))-expansion method; CAPUTO;
D O I
10.1007/s11082-024-06447-y
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this article, the fractional Schrodinger-Hirota equation which is a generalization of the standard Schrodinger 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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页数:23
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