Optical solitons in parabolic law medium: Jacobi elliptic function solution

被引：64
作者：
Tchier, Fairouz [1 ]
Aslan, Ebru Cavlak [2 ]
Inc, Mustafa [2 ]
机构：
[1] King Saud Univ, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia
[2] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 04期
关键词：
Solitons; Jacobi elliptic functions; Optical soliton; SINGULAR SOLITONS; WAVES;
D O I：
10.1007/s11071-016-2846-6
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The aim of this paper is to obtain optical soliton solutions by nonlinear dispersion in parabolic law medium by using Jacobi elliptic functions. The presented problem is studied with Kerr law nonlinearity, and dark and bright solitons are acquired. Also, we develop the stability analysis for problem.
引用
收藏
页码：2577 / 2582
页数：6
相关论文
共 17 条
  • [1] Agarwal P., 2015, INT J PHYS, V3, P45
  • [2] Ahmed BS, 2013, P ROMANIAN ACAD A, V14, P111
  • [3] 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
  • [4] Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities
    Biswas, Anjan
    Kara, Abdul H.
    Bokhari, Ashfaque H.
    Zaman, F. D.
    [J]. NONLINEAR DYNAMICS, 2013, 73 (04) : 2191 - 2196
  • [5] Bright and dark solitons of the generalized nonlinear Schrodinger's equation
    Biswas, Anjan
    Milovic, Daniela
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (06) : 1473 - 1484
  • [6] Solitary waves for power-law regularized long-wave equation and R(m,n) equation
    Biswas, Anjan
    [J]. NONLINEAR DYNAMICS, 2010, 59 (03) : 423 - 426
  • [7] Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients
    Biswas, Anjan
    [J]. NONLINEAR DYNAMICS, 2009, 58 (1-2) : 345 - 348
  • [8] Inc M, 2015, OPTOELECTRON ADV MAT, V9, P1081
  • [9] Kivshar Y. S., 2003, OTICAL SOLITONS
  • [10] Solitons and other nonlinear waves of the Boussinesq equation
    Krishnan, E. V.
    Kumar, Sachin
    Biswas, Anjan
    [J]. NONLINEAR DYNAMICS, 2012, 70 (02) : 1213 - 1221
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