Dark and singular optical solitons with Kundu-Eckhaus equation by extended trial equation method and extended G′/G-expansion scheme

被引:117
作者
Ekici, Mehmet [1 ]
Mirzazadeh, Mohammad [2 ]
Sonmezoglu, Abdullah [1 ]
Zhou, Qin [3 ]
Moshokoa, Seithuti P. [4 ]
Biswas, Anjan [4 ,5 ]
Belic, Milivoj [6 ]
机构
[1] Bozok Univ, Fac Sci & Arts, Dept Math, TR-66100 Yozgat, Turkey
[2] Univ Guilan, East Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
[3] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China
[4] Tshwane Univ Technol, Dept Math & Stat, ZA-0008 Pretoria, South Africa
[5] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[6] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar
来源
OPTIK | 2016年 / 127卷 / 22期
关键词
Bright solitons; Dark solitons; Constraints; G '/G-expansion; TRAVELING-WAVE SOLUTIONS; NONLINEAR DISPERSION; LAW NONLINEARITY; MEDIA;
D O I
10.1016/j.ijleo.2016.08.074
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
This paper obtains dark and singular optical solitons from Kundu-Eckhaus model. There are two integration algorithms that are adopted. These are extended trial equation method and the extended G'/G-expansion scheme. Constraint conditions guarantees existence of these solitons. As a byproduct, singular periodic solutions and plane wave solutions fall out. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码:10490 / 10497
页数:8
相关论文
共 25 条
[1]  
Dai CQ, 2016, NONLINEAR DYNAM, V83, P2453, DOI 10.1007/s11071-015-2493-3
[2]   Coherently coupled solitons, breathers and rogue waves for polarized optical waves in an isotropic medium [J].
Guo, Rui ;
Liu, Yue-Feng ;
Hao, Hui-Qin ;
Qi, Feng-Hua .
NONLINEAR DYNAMICS, 2015, 80 (03) :1221-1230
[3]   Dynamic behaviors of the breather solutions for the AB system in fluid mechanics [J].
Guo, Rui ;
Hao, Hui-Qin ;
Zhang, Ling-Ling .
NONLINEAR DYNAMICS, 2013, 74 (03) :701-709
[4]   The extended (G′/G)-expansion method and its applications to the Whitham-Broer-Kaup-Like equations and coupled Hirota-Satsuma KdV equations [J].
Guo, Shimin ;
Zhou, Yubin .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (09) :3214-3221
[5]   Constructing of exact solutions to the KdV and Burgers equations with power-law nonlinearity by the extended (G′/G)-expansion method [J].
Hayek, Mohamed .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) :212-221
[6]  
Kumar S, 2016, OPTOELECTRON ADV MAT, V10, P21
[7]  
Liu CS, 2008, COMMUN THEOR PHYS, V49, P153, DOI 10.1088/0253-6102/49/1/33
[8]   Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations [J].
Liu, Cheng-shi .
COMPUTER PHYSICS COMMUNICATIONS, 2010, 181 (02) :317-324
[9]   Dark soliton control in inhomogeneous optical fibers [J].
Liu, Wenjun ;
Huang, Longgang ;
Huang, Ping ;
Li, Yanqing ;
Lei, Ming .
APPLIED MATHEMATICS LETTERS, 2016, 61 :80-87
[10]   Madelung fluid description on a generalized mixed nonlinear Schrodinger equation [J].
Lu, Xing .
NONLINEAR DYNAMICS, 2015, 81 (1-2) :239-247