Solitons in optical metamaterials with fractional temporal evolution

被引:46
作者
Ekici, Mehmet [1 ]
Mirzazadeh, Mohammad [2 ]
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, Fac Technol & Engn, Dept Engn Sci, East Guilan, 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
基金
中国国家自然科学基金;
关键词
Solitons; Adomian decomposition; BRIGHT; EQUATION; ORDER;
D O I
10.1016/j.ijleo.2016.09.006
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
This paper obtains bright, dark and singular soliton solutions in optical metamaterials with fractional temporal evolution where Jumarie's modified Riemann-Liousville derivative is considered. There are four types of nonlinear metamaterials that are studied. These are Kerr law, power law, parabolic law and dual-power law. The integration scheme that is employed is the extended trial equation method. The existence of these solitons are guaranteed with constraint conditions. (C) 2016 Elsevier GmbH. All rights reserved.
引用
收藏
页码:10879 / 10897
页数:19
相关论文
共 30 条
  • [1] Agarwal G. P., 2001, NONLINEAR FIBER OPTI
  • [2] Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
    Ahmed, E.
    El-Sayed, A. M. A.
    El-Saka, H. A. A.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) : 542 - 553
  • [3] Atom trapping and guiding with a subwavelength-diameter optical fiber
    Balykin, VI
    Hakuta, K
    Le Kien, F
    Liang, JQ
    Morinaga, M
    [J]. PHYSICAL REVIEW A, 2004, 70 (01): : 011401 - 1
  • [4] Impedance matching in RF excited fast axial flow CO2 laser: The role of the capacitance due to laser head
    Bhagat, M. S.
    Biswas, A. K.
    Rana, L. B.
    Kukreja, L. M.
    [J]. OPTICS AND LASER TECHNOLOGY, 2012, 44 (07) : 2217 - 2222
  • [5] Biswas A., 2015, J. Comput. Theor. Nanosci, V12, P5630
  • [6] Biswas A., 2006, Introduction to Non-Kerr Law Optical solitons
  • [7] Solitons in Optical Metamaterials by Functional Variable Method and First Integral Approach
    Biswas, Anjan
    Mirzazadeh, M.
    Eslami, Mostafa
    Milovic, Daniela
    Belic, Milivoj
    [J]. FREQUENZ, 2014, 68 (11-12) : 525 - 530
  • [8] Singular solitons in optical metamaterials by ansatz method and simplest equation approach
    Biswas, Anjan
    Mirzazadeh, M.
    Savescu, Michelle
    Milovic, Daniela
    Khan, Kaisar R.
    Mahmood, Mohammad F.
    Belic, Milivoj
    [J]. JOURNAL OF MODERN OPTICS, 2014, 61 (19) : 1550 - 1555
  • [9] Bright and dark solitons in optical metamaterials
    Biswas, Anjan
    Khan, Kaisar R.
    Mahmood, Mohammad F.
    Belic, Milivoj
    [J]. OPTIK, 2014, 125 (13): : 3299 - 3302
  • [10] Biswas A, 2012, J OPTOELECTRON ADV M, V14, P571