The extended modified method applied to optical solitons solutions in birefringent fibers with weak nonlocal nonlinearity and four wave mixing

被引：37
作者：
Yepez-Martinez, Huitzilin [1 ]
Rezazadeh, Hadi [2 ]
Souleymanou, Abbagari [3 ,4 ,5 ,6 ]
Mukam, Serge Paulin Takougoum [3 ,4 ,5 ]
Eslami, Mostafa [7 ]
Kuetche, Victor Kamgang [2 ,3 ]
Bekir, Ahmet [8 ]
机构：
[1] Univ Autnoma Ciudad de Mexico, Prolongacin San Isidro 151, Mexico City 09790, DF, Mexico
[2] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran
[3] Univ Maroua, Fac Mines & Petr Ind, Dept Basic Sci, Maroua, Cameroon
[4] Univ Yaounde I, Natl Adv Sch Engn, Yaounde, Cameroon
[5] Univ Yaounde I, Lab Mech Mat & Struct, Dept Phys, Yaounde, Cameroon
[6] Univ Yaounde I, CETIC, Yaounde, Cameroon
[7] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran
[8] Neighbourhood Akcaglan, Imarli St 28-4, TR-26030 Eskisehir, Turkey
来源：
CHINESE JOURNAL OF PHYSICS | 2019年 / 58卷
关键词：
Solitons; Analytical solutions; Birefringent fibers; Four-wave mixing; GINZBURG-LANDAU EQUATION; TRAVELING-WAVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EVOLUTION; BRIGHT; DARK;
D O I：
10.1016/j.cjph.2019.02.002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The dynamics of solitons in birefringent optical fibers with weak nonlocal nonlinearity is studied in this paper, in presence of four-wave mixing terms in the governing model. There are three main types of exact one-soliton solutions retrieved for this dynamical system. The approach is based in the modified sub-equation extended method for the generalized hyperbolic and trigonometric functions for constructing new exact solutions of the governing coupled equations in birefringent optical fibers. Several constraint conditions naturally fall out during the course of integration of the corresponding coupled nonlinear partial differential equations.
引用
收藏
页码：137 / 150
页数：14
相关论文
共 36 条
  • [1] Travelling wave solutions of Drinfel'd-Sokolov-Wilson, Whitham-Broer-Kaup and (2+1)-dimensional Broer-Kaup-Kupershmit equations and their applications
    Arshad, M.
    Seadawy, A. R.
    Lu, Dianchen
    Wang, Jun
    [J]. CHINESE JOURNAL OF PHYSICS, 2017, 55 (03) : 780 - 797
  • [2] Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrodinger equation with δ-potential
    Baskonus, Haci Mehmet
    Sulaiman, Tukur Abdulkadir
    Bulut, Hasan
    Akturk, Tolga
    [J]. SUPERLATTICES AND MICROSTRUCTURES, 2018, 115 : 19 - 29
  • [3] Dispersive optical solitons with Schrodinger-Hirota equation
    Bhrawy, A. H.
    Alshaery, A. A.
    Hilal, E. M.
    Manrakhan, Wayne N.
    Savescu, Michelle
    Biswas, Anjan
    [J]. JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2014, 23 (01)
  • [4] Optical solitons in birefringent fibers with weak non-local nonlinearity and four-wave mixing by extended trial equation method
    Biswas, Anjan
    Ekici, Mehmet
    Sonmezoglu, Abdullah
    Babatin, M. M.
    [J]. OPTIK, 2018, 166 : 285 - 293
  • [5] Optical soliton perturbation with Fokas-Lenells equation using three exotic and efficient integration schemes
    Biswas, Anjan
    Rezazadeh, Hadi
    Mirzazadeh, Mohammad
    Eslami, Mostafa
    Ekici, Mehmet
    Zhou, Qin
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. OPTIK, 2018, 165 : 288 - 294
  • [6] Resonant optical solitons with dual-power law nonlinearity and fractional temporal evolution
    Biswas, Anjan
    Al-Amr, Mohammed O.
    Rezazadeh, Hadi
    Mirzazadeh, Mohammad
    Eslami, Mostafa
    Zhou, Qin
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. OPTIK, 2018, 165 : 233 - 239
  • [7] Optical solitons having weak non-local nonlinearity by two integration schemes
    Biswas, Anjan
    Rezazadeh, Hadi
    Mirzazadeh, Mohammad
    Eslami, Mostafa
    Zhou, Qin
    Moshokoa, Seithuti P.
    Belic, Milivoj
    [J]. OPTIK, 2018, 164 : 380 - 384
  • [8] Biswas A, 2012, J OPTOELECTRON ADV M, V14, P571
  • [9] Optical solitons and other solutions to the conformable space-time fractional Fokas-Lenells equation
    Bulut, Hasan
    Sulaiman, Tukur Abdulkadir
    Baskonus, Haci Mehmet
    Rezazadeh, Hadi
    Eslami, Mostafa
    Mirzazadeh, Mohammad
    [J]. OPTIK, 2018, 172 : 20 - 27
  • [10] Dynamics of soliton solutions in the chiral nonlinear Schrodinger equations
    Bulut, Hasan
    Sulaiman, Tukur Abdulkadir
    Demirdag, Betul
    [J]. NONLINEAR DYNAMICS, 2018, 91 (03) : 1985 - 1991
1234