Optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation

被引：146

作者：

Esen, Alaattin ^{[1
]}

Sulaiman, Tukur Abdulkadir ^{[2
,3
]}

Bulut, Hasan ^{[2
,4
]}

Baskonus, Haci Mehmet ^{[5
]}

机构：

[1] Inonu Univ, Dept Math, Malatya, Turkey

[2] Firat Univ, Fac Sci, Elazig, Turkey

[3] Fed Univ, Fac Sci, Dutse, Jigawa, Nigeria

[4] Final Int Univ, Fac Educ, Kyrenia, Cyprus

[5] Munzur Univ, Fac Engn, Tunceli, Turkey

来源：

OPTIK | 2018年 / 167卷

关键词：

The sinh-Gordon equation; Coupled NLSE; Soliton; Optical fiber; BISWAS-MILOVIC EQUATION; PORSEZIAN-DANIEL MODEL; CUBIC NONLINEARITY; WAVE SOLUTIONS; POWER-LAW; DARK; BRIGHT;

D O I：

10.1016/j.ijleo.2018.04.015

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This study reveals the dark, bright, mixed dark-bright, singular and mixed singular optical solitons to the space-time fractional (1+1)-dimensional coupled nonlinear Schrodinger equation by using the extended sinh-Gordon equation expansion method. The constraint conditions for the existence of valid solitons are given. Under the choice of suitable values of the parameters and the fractional values of alpha and beta, the 2- and 3-dimensional graphs to some of the reported solutions are plotted. (C) 2018 Elsevier GmbH. All rights reserved.

引用

页码：150 / 156

页数：7

共 50 条

[41] Generalized fractional Schrodinger equation with space-time fractional derivatives
Wang, Shaowei
Xu, Mingyu
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (04)
[42] Dark and singular optical solitons for the conformable space-time nonlinear Schrodinger equation with Kerr and power law nonlinearity
Inc, Mustafa
Yusuf, Abdullahi
Aliyu, Aliyu Isa
Baleanu, Dumitru
OPTIK, 2018, 162 : 65 - 75
[43] Solutions for time-fractional coupled nonlinear Schrodinger equations arising in optical solitons
Okposo, Newton, I
Veeresha, P.
Okposo, Emamuzo N.
CHINESE JOURNAL OF PHYSICS, 2022, 77 : 965 - 984
[44] A novel (2+1)-dimensional nonlinear Schordinger equation deformed from (1+1)-dimensional nonlinear Schrodinger equation
Jia, Man
Lou, S. Y.
APPLIED MATHEMATICS LETTERS, 2023, 143
[45] Optical solitons of a time-fractional higher-order nonlinear Schrodinger equation
Fang, Jia-Jie
Dai, Chao-Qing
OPTIK, 2020, 209
[46] Optical solitons with time fractional nonlinear Schrodinger equation and competing weakly nonlocal nonlinearity
Islam, Warda
Younis, Muhammad
Rizvi, Syed Tahir Raza
OPTIK, 2017, 130 : 562 - 567
[47] Optical solitons of (2+1)-dimensional nonlinear Schrodinger equation involving linear and nonlinear effects
Matinfar, M.
Hosseini, K.
OPTIK, 2021, 228
[48] COUPLED HYBRID NONLINEAR SCHRODINGER-EQUATION AND OPTICAL SOLITONS
HISAKADO, M
IIZUKA, T
WADATI, M
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (08) : 2887 - 2894
[49] On the space-time fractional Schrodinger equation with time independent potentials
Baqer, Saleh
Boyadjiev, Lyubomir
PANORAMA OF MATHEMATICS: PURE AND APPLIED, 2016, 658 : 81 - 90
[50] On the dynamics of a dual space-time fractional nonlinear Schrodinger model in optical fibers
Tariq, Kalim U.
Nadeem, Muhammad
Zeeshan, Muhammad
Guran, Liliana
Bucur, Amelia
RESULTS IN PHYSICS, 2023, 51

← 1 2 3 4 5 →