Optical solitons for cascaded system: Jacobi elliptic functions

被引：3
|
作者：
Tchier, Fairouz [1 ]
Aslan, Ebru Cavlak [2 ]
Inc, Mustafa [2 ]
机构：
[1] King Saud Univ, Dept Math, Riyadh, Saudi Arabia
[2] Firat Univ, Fac Sci, Dept Math, Elazig, Turkey
来源：
JOURNAL OF MODERN OPTICS | 2016年 / 63卷 / 21期
关键词：
CS; Jacobi elliptic functions; integrability; optical solitons; SINGULAR SOLITONS; BIREFRINGENT FIBERS; DARK; WAVES; BRIGHT;
D O I：
10.1080/09500340.2016.1198502
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this work, the coupled NLSE is studied that appears in a cascased system. Exact solutions of this coupled system acquire by using Jacobi elliptic functions. The presented system will be studied with two forms of nonlinearity. The forms are kerr law and power law. Dark, bright, singular solitons and Jacobi elliptic solutions will be acquired. We present constraint conditions for the existence of obtained solitons. Our obtained solitons will be controlled by changing the diffraction coefficients.
引用
收藏
页码：2298 / 2307
页数：10
相关论文
共 50 条
  • [31] On Jacobi’s transformation theory of elliptic functions
    Alberto Cogliati
    Archive for History of Exact Sciences, 2014, 68 : 529 - 545
  • [32] Cyclic identities for Jacobi elliptic and related functions
    Khare, A
    Lakshminarayan, A
    Sukhatme, U
    JOURNAL OF MATHEMATICAL PHYSICS, 2003, 44 (04) : 1822 - 1841
  • [33] On Jacobi's transformation theory of elliptic functions
    Cogliati, Alberto
    ARCHIVE FOR HISTORY OF EXACT SCIENCES, 2014, 68 (04) : 529 - 545
  • [34] Local identities involving Jacobi elliptic functions
    Avinash Khare
    Arul Lakshminarayan
    Uday Sukhatme
    Pramana, 2004, 62 : 1201 - 1229
  • [35] On optical soliton solutions of new Hamiltonian amplitude equation via Jacobi elliptic functions
    Zafar, Asim
    Raheel, M.
    Ali, Khalid K.
    Razzaq, Waseem
    EUROPEAN PHYSICAL JOURNAL PLUS, 2020, 135 (08):
  • [36] A structurally stable realization for Jacobi elliptic functions
    Ji, HH
    Newcomb, RW
    2002 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL IV, PROCEEDINGS, 2002, : 385 - 388
  • [37] Optical solitons in cascaded system with spatio-temporal dispersion by ansatz approach
    Vega-Guzman, J.
    Zhou, Q.
    Alshaery, A. A.
    Hilal, E. M.
    Bhrawy, A. H.
    Biswas, A.
    JOURNAL OF OPTOELECTRONICS AND ADVANCED MATERIALS, 2015, 17 (1-2): : 165 - 171
  • [38] Elliptic solitons in optical fiber media
    Jubgang, Defi Jr Fandio
    Dikande, Alain M.
    Sunda-Meya, A.
    PHYSICAL REVIEW A, 2015, 92 (05):
  • [39] Indefinite integrals of incomplete elliptic integrals from Jacobi elliptic functions
    Conway, John T.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2017, 28 (06) : 443 - 459
  • [40] Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by extended Jacobi's elliptic function expansion
    Biswas, Anjan
    Ekici, Mehmet
    Sonmezoglu, Abdullah
    Belic, Milivoj
    OPTIK, 2019, 178 : 117 - 121
12345