Optical solitons of the coupled nonlinear Schrodinger's equation with spatiotemporal dispersion

被引:76
作者
Inc, Mustafa [1 ]
Ates, Esma [2 ]
Tchier, Fairouz [3 ]
机构
[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey
[2] Karadeniz Tech Univ, Fac Technol, Dept Elect & Commun Engn, TR-61830 Trabzon, Turkey
[3] King Saud Univ, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia
关键词
Solitons; Jacobi elliptic functions; Non-Kerr nonlinearity; Optical couplers; LAW;
D O I
10.1007/s11071-016-2762-9
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this work, the coupled nonlinear Schrodinger's equation (CNLSE) is studied with four forms of nonlinearity. The nonlinearities that are considered in this paper are the Kerr law, power law, parabolic law and dual-power law. Jacobi elliptic function solutions and also bright and dark optical soliton solutions are obtained for each law of the CNLSE. We will acquire constraint conditions for the existence of obtained solitons.
引用
收藏
页码:1319 / 1329
页数:11
相关论文
共 15 条
[11]   Soliton solutions to resonant nonlinear Schrodinger's equation with time-dependent coefficients by trial solution approach [J].
Mirzazadeh, Mohammad ;
Arnous, A. H. ;
Mahmood, M. F. ;
Zerrad, Essaid ;
Biswas, Anjan .
NONLINEAR DYNAMICS, 2015, 81 (1-2) :277-282
[12]   Optical solitons with non-Kerr law nonlinearity and inter-modal dispersion with time-dependent coefficients [J].
Topkara, Engin ;
Milovic, Daniela ;
Sarma, Amarendra K. ;
Zerrad, Essaid ;
Biswas, Anjan .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (09) :2320-2330
[13]   A study on linear and nonlinear Schrodinger equations by the variational iteration method [J].
Wazwaz, Abdul-Majid .
CHAOS SOLITONS & FRACTALS, 2008, 37 (04) :1136-1142
[14]   Optical solitons with Biswas-Milovic equation by extended trial equation method [J].
Zhou, Qin ;
Ekici, M. ;
Sonmezoglu, A. ;
Mirzazadeh, M. ;
Eslami, M. .
NONLINEAR DYNAMICS, 2016, 84 (04) :1883-1900
[15]   Dark optical solitons in quadratic nonlinear media with spatio-temporal dispersion [J].
Zhou, Qin ;
Liu, Sha .
NONLINEAR DYNAMICS, 2015, 81 (1-2) :733-738