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

被引：151
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
收藏
页码：150 / 156
页数：7
相关论文
共 47 条
[1]   A Novel Method for Analytical Solutions of Fractional Partial Differential Equations [J].
Akinlar, Mehmet Ali ;
Kurulay, Muhammet .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[2]   Soliton solutions of the nonlinear Schrodinger equation with the dual power law nonlinearity and resonant nonlinear Schrodinger equation and their modulation instability analysis [J].
Ali, Asghar ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPTIK, 2017, 145 :79-88
[3]   Bell and kink type soliton solutions in birefringent nano-fibers [J].
Ali, K. ;
Rizvi, S. T. R. ;
Ahmad, S. ;
Bashir, S. ;
Younis, M. .
OPTIK, 2017, 142 :327-333
[4]   Bright optical solitons for Lakshmanan-Porsezian-Daniel model by semi-inverse variational principle [J].
Alqahtani, Rubayyi T. ;
Babatin, M. M. ;
Biswas, Anjan .
OPTIK, 2018, 154 :109-114
[5]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[6]   NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].
Atangana, Abdon ;
Baleanu, Dumitru .
THERMAL SCIENCE, 2016, 20 (02) :763-769
[7]   Dark, bright and other optical solitons to the decoupled nonlinear Schrodinger equation arising in dual-core optical fibers [J].
Baskonus, Haci Mehmet ;
Sulaiman, Tukur Abdulkadir ;
Bulut, Hasan .
OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (04)
[8]   Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrodinger equation with δ-potential [J].
Baskonus, Haci Mehmet ;
Sulaiman, Tukur Abdulkadir ;
Bulut, Hasan ;
Akturk, Tolga .
SUPERLATTICES AND MICROSTRUCTURES, 2018, 115 :19-29
[9]   Bright, dark and W-shaped solitons with extended nonlinear Schrodinger's equation for odd and even higher-order terms [J].
Bendahmane, Issam ;
Triki, Houria ;
Biswas, Anjan ;
Alshomrani, Ali Saleh ;
Zhou, Qin ;
Moshokoa, Seithuti P. ;
Belic, Milivoj .
SUPERLATTICES AND MICROSTRUCTURES, 2018, 114 :53-61
[10]   Bright and dark solitons in a cascaded system [J].
Bhravvy, A. H. ;
Alshaery, A. A. ;
Hilal, E. M. ;
Jovanoski, Zlatko ;
Biswas, Anjan .
OPTIK, 2014, 125 (20) :6162-6165
12345