Optical soliton solutions of perturbing time-fractional nonlinear Schrodinger equations

被引：34
|
作者：
Osman, M. S. [1 ,2 ]
Ali, Khalid K. [3 ]
机构：
[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
[2] Umm Alqura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia
[3] Al Azhar Univ, Fac Sci, Math Dept, Cairo, Egypt
来源：
OPTIK | 2020年 / 209卷
关键词：
New soliton solutions; Time-fractional nonlinear Schrodinger's equation; Full nonlinearity; Complex transformation; KERR LAW NONLINEARITY; LOGISTIC FUNCTION; MODULATION; WAVES;
D O I：
10.1016/j.ijleo.2020.164589
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
This article presents a technique for finding solitary wave solutions of higher-order nonlinear differential equations. Time fractional nonlinear differential equations that have hierarchy contain higher orders are presented for the description of highly dispersive optical solutions. We find optical solitons with high dispersion order for time-fractional nonlinear perturbed Schrodinger equations of the fourth and sixth orders. Some figures are investigated to show the accuracy of the solutions obtained.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Resonant optical soliton solutions for time-fractional nonlinear Schrodinger equation in optical fibers
    Murad, Muhammad Amin Sadiq
    Ismael, Hajar F.
    Sulaiman, Tukur Abdulkadir
    [J]. JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2024,
  • [2] Novel optical soliton solutions for time-fractional resonant nonlinear Schrodinger equation in optical fiber
    Das, N.
    Ray, S. Saha
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (02)
  • [3] Solutions for time-fractional coupled nonlinear Schrodinger equations arising in optical solitons
    Okposo, Newton, I
    Veeresha, P.
    Okposo, Emamuzo N.
    [J]. CHINESE JOURNAL OF PHYSICS, 2022, 77 : 965 - 984
  • [4] Optical soliton solutions of time-fractional coupled nonlinear Schrodinger system via Kudryashov-based methods
    Onder, Ismail
    Secer, Aydin
    Bayram, Mustafa
    [J]. OPTIK, 2023, 272
  • [5] Dispersive optical soliton wave solutions for the time-fractional perturbed nonlinear Schrodinger equation with truncated M-fractional conformable derivative in the nonlinear optical fibers
    Das, Nilkanta
    Ray, S. Saha
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (09)
  • [6] Optical soliton solutions to the fractional nonlinear Fokas-Lenells and paraxial Schrodinger equations
    Haque, Md Morshedul
    Akbar, M. Ali
    Osman, M. S.
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (11)
  • [7] Soliton solutions of the time-fractional Sharma–Tasso–Olver equations arise in nonlinear optics
    K. Pavani
    K. Raghavendar
    K. Aruna
    [J]. Optical and Quantum Electronics, 56
  • [8] Analytical study of exact traveling wave solutions for time-fractional nonlinear Schrodinger equations
    Ilie, Mousa
    Biazar, Jafar
    Ayati, Zainab
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (12)
  • [9] Soliton solutions for fractional Schrodinger equations
    Li, Quanqing
    Wu, Xian
    [J]. APPLIED MATHEMATICS LETTERS, 2016, 53 : 119 - 124
  • [10] OPTICAL SOLITON SOLUTIONS OF THE FRACTIONAL PERTURBED NONLINEAR SCHRODINGER EQUATION
    Ali, Khalid Karam
    Karakoc, Seydi Battal Gazi
    Rezazadeh, Hadi
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (04): : 930 - 939
12345