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

被引：75
|
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
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 02期
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 50 条
  • [31] Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrodinger equation
    Song, Cai-Qin
    Xiao, Dong-Mei
    Zhu, Zuo-Nong
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 45 : 13 - 28
  • [32] Optical soliton solutions of nonlinear Schrodinger equation with second order spatiotemporal dispersion and its modulation instability
    Nasreen, Naila
    Lu, Dianchen
    Arshad, Muhammad
    OPTIK, 2018, 161 : 221 - 229
  • [33] Optical solitons and modulation instability analysis of the (1+1)-dimensional coupled nonlinear Schrodinger equation
    Sulaiman, Tukur Abdulkadir
    Bulut, Hasan
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (02)
  • [34] Optical solitons, conservation laws and modulation instability analysis for the modified nonlinear Schrodinger's equation for Davydov solitons
    Inc, Mustafa
    Aliyu, Aliyu Isa
    Yusuf, Abdullahi
    Baleanu, Dumitru
    JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2018, 32 (07) : 858 - 873
  • [35] Spatiotemporal vector and scalar solitons of the coupled nonlinear Schrodinger equation with spatially modulated cubic-quintic-septimal nonlinearities
    Chen, Yi-Xiang
    Zheng, Li-Hao
    Xu, Fang-Qian
    NONLINEAR DYNAMICS, 2018, 93 (04) : 2379 - 2388
  • [36] Spatiotemporal bright and dark vector multipole and vortex solitons for coupled nonlinear Schrodinger equation with spatially modulated quintic nonlinearity
    Wu, Hong-Yu
    Jiang, Li-Hong
    NONLINEAR DYNAMICS, 2017, 90 (02) : 1419 - 1425
  • [37] Gaussian solitons in nonlinear Schrodinger equation
    Nassar, AB
    Bassalo, JMF
    Alencar, PTS
    de Souza, JF
    de Oliveira, JE
    Cattani, M
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2002, 117 (08): : 941 - 946
  • [38] Solitons of the generalized nonlinear Schrodinger equation
    Tsoy, Eduard N.
    Suyunov, Laziz A.
    PHYSICA D-NONLINEAR PHENOMENA, 2020, 414
  • [39] Generalized and multi-oscillation solitons in the nonlinear Schrodinger equation with quartic dispersion
    Bandara, Ravindra
    Giraldo, Andrus
    Broderick, Neil G. R.
    Krauskopf, Bernd
    CHAOS, 2023, 33 (07)
  • [40] Bragg solitons and the nonlinear Schrodinger equation
    de Sterke, CM
    Eggleton, BJ
    PHYSICAL REVIEW E, 1999, 59 (01) : 1267 - 1269
12345