New exact solutions for perturbed nonlinear Schrödinger's equation with self-phase modulation of Kudryashov's sextic power law refractive index

被引:0
|
作者
Farahat, S. E. [1 ]
El Shazly, E. S. [3 ]
El-Kalla, I. L. [1 ]
Kader, A. H. Abdel [1 ,2 ]
机构
[1] Mansoura Univ, Fac Engn, Math & Engn Phys Dept, Mansoura 35516, Egypt
[2] New Mansoura Univ, Fac Sci, Math Dept, New Mansoura City, Egypt
[3] Misr Higher Inst Engn & Technol, Basic Sci Dept, Mansoura, Egypt
关键词
Optical solitons; Schrodinger equation; Simple equation method; Highly dispersive soliton; Perturbation; Exact solution; OPTICAL SOLITONS;
D O I
10.1007/s11082-023-05482-5
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 work, the perturbed nonlinear Schrodinger's equation (NLSE) with self-phase modulation (SPM) of Kudryashov's sextic power law which describes the soliton's propagation in optical fiber is investigated. New exact solutions will be introduced including doubly periodic solutions in the form of Weirstrass and hyperbolic functions by using the simple equation method. There have been several different kinds of optical soliton solutions proposed, including dark, bright, kink, and anti-kink soliton solutions. To further understand some of its physical characteristics, the resulting optical soliton solutions are illustrated graphically.
引用
收藏
页数:17
相关论文
共 50 条
  • [31] Novel solitary wave solutions of the (3+1)-dimensional nonlinear Schro<spacing diaeresis>dinger equation with generalized Kudryashov self-phase modulation
    Trouba, Nafissa Toureche
    Alngar, Mohamed E. M.
    Shohib, Reham M. A.
    Mahmoud, Haitham A. .
    Yildirim, Yakup
    Xu, Huiying
    Zhu, Xinzhong
    AIMS MATHEMATICS, 2025, 10 (02): : 4374 - 4411
  • [32] Highly dispersive optical soliton perturbation with Kudryashov's sextic-power law nonlinear refractive index by semi-inverse variation
    Biswas, Anjan
    Ekici, Mehmet
    Dakova, Anelia
    Khan, Salam
    Moshokoa, Seithuti P.
    Alshehri, Hashim M.
    Belic, Milivoj R.
    RESULTS IN PHYSICS, 2021, 27
  • [33] Perturbations of solitons in highly dispersive for nonlinear Schrödinger’s equation without self-phase modulation using modified extended direct algebraic technique
    Hanaa El-didamony
    Hamdy M. Ahmed
    Afaf Zaghrout
    Youssra Ali
    Ahmed H. Arnous
    Optical and Quantum Electronics, 2022, 54
  • [34] Cubic-quartic optical solitons and conservation laws with Kudryashov's sextic power-law of refractive index
    Zayed, Elsayed M. E.
    Alngar, Mohamed E. M.
    Biswas, Anjan
    Kara, Abdul H.
    Ekici, Mehmet
    Alzahrani, Abdullah K.
    Belic, Milivoj R.
    OPTIK, 2021, 227
  • [35] A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index
    Mirzazadeh, Mohammad
    Akbulut, Arzu
    Tascan, Filiz
    Akinyemi, Lanre
    OPTIK, 2022, 252
  • [36] A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index
    Mirzazadeh, Mohammad
    Akbulut, Arzu
    Taşcan, Filiz
    Akinyemi, Lanre
    Optik, 2022, 252
  • [37] Addendum to Kudryashov's method for finding solitons in magneto-optics waveguides to cubic-quartic NLSE with Kudryashov's sextic power law of refractive index
    Zayed, Elsayed M. E.
    Gepreel, Khaled A.
    Alngar, Mohamed E. M.
    OPTIK, 2021, 230
  • [38] Optical solitons for the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index by the unified auxiliary equation method
    Zayed, Elsayed M.E.
    Gepreel, Khaled A.
    Shohib, Reham M.A.
    Alngar, Mohamed E.M.
    Yıldırım, Yakup
    Optik, 2021, 230
  • [39] Optical solitons for the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index by the unified auxiliary equation method
    Zayed, Elsayed M. E.
    Gepreel, Khaled A.
    Shohib, Reham M. A.
    Alngar, Mohamed E. M.
    Yildirim, Yakup
    OPTIK, 2021, 230
  • [40] Highly dispersive optical soliton perturbation of Kudryashov's arbitrary form having sextic-power law refractive index
    Elsherbeny, Ahmed M.
    El-Barkouky, Reda
    Seadawy, Aly R.
    Ahmed, Hamdy M.
    El-Hassani, Rabab M., I
    Arnous, Ahmed H.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2021, 35 (24):