Novel distinct types of optical solitons for the coupled Fokas-Lenells equations

被引：16
|
作者：
El-Shiekh, Rehab M. [1 ,2 ]
Hamdy, Heba [1 ]
机构：
[1] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
[2] Majmaah Univ, Coll Business Adm Majmaah, Majmaah 11952, Saudi Arabia
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2023年 / 55卷 / 03期
关键词：
Coupled Fokas-Lenells equations; Similarity transformation; Trial equation method; Optical solitons; WAVE SOLUTIONS; SOLITARY;
D O I：
10.1007/s11082-023-04546-w
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, the coupled Fokas-Lenells equations which describe the propagation of ultra short optical pulses in birefringent fibers are transformed into a nonlinear ordinary differential equation system by using a suitable similarity transformation. Then, the nonlinear ordinary differential equation is solved by the trial equation technique. As a result, many new kink, bell, periodic and rational solitary wave structures are yielded. Some figures are given to illustrate the differences between pulses propagation in 3D and 2D dimensional.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Novel distinct types of optical solitons for the coupled Fokas-Lenells equations
    Rehab M. El-Shiekh
    Heba Hamdy
    Optical and Quantum Electronics, 2023, 55
  • [2] Optical solitons for coupled Fokas-Lenells equation in birefringence fibers
    Raza, Nauman
    Arshed, Saima
    Sial, Sultan
    MODERN PHYSICS LETTERS B, 2019, 33 (26):
  • [3] Novel Dark, Singular and Combo Optical Solitons for Fokas-Lenells Equation
    Lakestani, M.
    Manafian, J.
    ACTA PHYSICA POLONICA A, 2019, 136 (01) : 214 - 224
  • [4] Semirational solutions to the coupled Fokas-Lenells equations
    Xu, Tao
    Chen, Yong
    NONLINEAR DYNAMICS, 2019, 95 (01) : 87 - 99
  • [5] Family of optical solitons for perturbed Fokas-Lenells equation
    Muniyappan, Annamalai
    Sahasraari, Lakshmi Narasimhan
    Anitha, Selvaraj
    Ilakiya, Sathiyamoorthy
    Biswas, Anjan
    Yildirim, Yakup
    Triki, Houria
    Alshehri, Hashim M.
    Belic, Milivoj R.
    OPTIK, 2022, 249
  • [6] Rogue waves and their patterns for the coupled Fokas-Lenells equations
    Ling, Liming
    Su, Huajie
    PHYSICA D-NONLINEAR PHENOMENA, 2024, 461
  • [7] Dynamic behaviors of optical solitons for Fokas-Lenells equation in optical fiber
    Liu, Feifei
    Zhou, Cheng-Cheng
    Lu, Xing
    Xu, Haitao
    OPTIK, 2020, 224 (224):
  • [8] Integrable reduction and solitons of the Fokas-Lenells equation
    Horikis, Theodoros P.
    IMA JOURNAL OF APPLIED MATHEMATICS, 2021, 86 (04) : 730 - 738
  • [9] The Fokas-Lenells equations: Bilinear approach
    Liu, Shu-zhi
    Wang, Jing
    Zhang, Da-jun
    STUDIES IN APPLIED MATHEMATICS, 2022, 148 (02) : 651 - 688
  • [10] Optical solitons pertutabation with Fokas-Lenells equation by exp (-φ(ξ))-expansion method
    Arshed, Saima
    Biswas, Anjan
    Zhou, Qin
    Khan, Salam
    Adesanya, Samuel
    Moshokoa, Seithuti P.
    Belic, Milivoj
    OPTIK, 2019, 179 : 341 - 345
12345