The analytical study of solitons to the nonlinear Schrodinger equation with resonant nonlinearity

被引:63
作者
Ekici, Mehmet [1 ]
Zhou, Qin [2 ]
Sonmezoglu, Abdullah [1 ]
Manafian, Jalil [3 ]
Mirzazadeh, Mohammad [4 ]
机构
[1] Bozok Univ, Dept Math, Yozgat, Turkey
[2] Wuhan Donghu Univ, Sch Elect & Informat Engn, Wuhan 430212, Peoples R China
[3] Univ Tabriz, Fac Math Sci, Dept Appl Math, Tabriz, Iran
[4] East Guilan Univ Guilan, Fac Engn & Technol, Dept Engn Sci, Rudsar Vajargah 4489163157, Iran
来源
OPTIK | 2017年 / 130卷
关键词
Solitons; Resonant nonlinear Schrodinger's equation; Extended Jacobi elliptic function expansion method; WAVE SOLUTIONS;
D O I
10.1016/j.ijleo.2016.10.098
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The resonant nonlinear SchroÄdinger's equation (R-NLSE) was studied by the extended Jacobi elliptic function expansion method. Two laws of nonlinearity was considered, Kerr-law nonlineaity and parabolic-law nonlinearity. As a result explicit dark and singular solitons were obtained.
引用
收藏
页码:378 / 382
页数:5
相关论文
共 24 条
[1]   Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method [J].
Abdou, M. A. ;
Elhanbaly, A. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (07) :1229-1241
[2]   Cnoidal and snoidal wave solutions to coupled nonlinear wave equations by the extended Jacobi's elliptic function method [J].
Bhrawy, A. H. ;
Abdelkawy, M. A. ;
Biswas, Anjan .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2013, 18 (04) :915-925
[3]  
Biswas A., 2012, Quantum Physics Letters, V1, P79
[4]  
Dai CQ, 2015, NONLINEAR DYNAM, V80, P715, DOI 10.1007/s11071-015-1900-0
[5]   Stable light-bullet solutions in the harmonic and parity-time-symmetric potentials [J].
Dai, Chao-Qing ;
Wang, Xiao-Gang ;
Zhou, Guo-Quan .
PHYSICAL REVIEW A, 2014, 89 (01)
[6]   Soliton solutions of the resonant nonlinear Schrodinger's equation in optical fibers with time-dependent coefficients by simplest equation approach [J].
Eslami, M. ;
Mirzazadeh, M. ;
Biswas, Anjan .
JOURNAL OF MODERN OPTICS, 2013, 60 (19) :1627-1636
[7]   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
[8]   Breathers and localized solitons for the Hirota-Maxwell-Bloch system on constant backgrounds in erbium doped fibers [J].
Guo, Rui ;
Hao, Hui-Qin .
ANNALS OF PHYSICS, 2014, 344 :10-16
[9]   Dromion structures in the (2+1)-dimensional nonlinear Schrodinger equation with a parity-time-symmetric potential [J].
Li, Yan-Qing ;
Liu, Wen-Jun ;
Wong, Pring ;
Huang, Long-Gang ;
Pan, Nan .
APPLIED MATHEMATICS LETTERS, 2015, 47 :8-12
[10]   Dynamic solitons for the perturbed derivative nonlinear Schrodinger equation in nonlinear optics [J].
Liu, Wen-Jun ;
Pang, Li-Hui ;
Wong, Pring ;
Lei, Ming ;
Wei, Zhi-Yi .
LASER PHYSICS, 2015, 25 (06)