Optical solitons for the fractional (3+1)-dimensional NLSE with power law nonlinearities by using conformable derivatives

被引：0
|
作者：
Korpinar, Z. [1 ]
Inc, M. [2 ,3 ]
Almohsen, B. [4 ]
Bayram, M. [5 ]
机构：
[1] Mus Alparslan Univ, Fac Econ & Adm Sci, Dept Adm, Mus, Turkey
[2] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[4] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia
[5] Biruni Univ, Dept Comp Engn, Istanbul, Turkey
来源：
INDIAN JOURNAL OF PHYSICS | 2021年 / 95卷 / 10期
关键词：
Optical solitons; Nonlinear Schrodinger equation; Conformable derivative; Power law nonlinearities; The extended direct algebraic method; LINEAR SCHRODINGER-EQUATION; LIE SYMMETRIES;
D O I：
10.1007/s12648-020-01853-w
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the process of the extended direct algebraic method (EDAM) is used to obtain the optical solitons in fractional (3 + 1)-dimensional nonlinear Schrodinger equation through the conformable derivative. Firstly, this fractional equation is changed into the ordinary differential equation by using the wave variables transformation. Then, new several forms of optical solitons are obtained by using EDAM.
引用
收藏
页码：2143 / 2154
页数：12
相关论文
共 50 条
  • [21] Generalized optical soliton solutions to the (3+1)-dimensional resonant nonlinear Schrödinger equation with Kerr and parabolic law nonlinearities
    Abdelilah Kamal H. Sedeeg
    R. I. Nuruddeen
    J. F. Gómez-Aguilar
    Optical and Quantum Electronics, 2019, 51
  • [22] Optical solitons and stability analysis for the new (3+1)-dimensional nonlinear Schrodinger equation
    Mathanaranjan, Thilagarajah
    JOURNAL OF NONLINEAR OPTICAL PHYSICS & MATERIALS, 2023, 32 (02)
  • [23] Optical solitons and modulation instability analysis with (3+1)-dimensional nonlinear Shrodinger equation
    Inc, Mustafa
    Aliyu, Aliyu Isa
    Yusuf, Abdullahi
    Baleanu, Dumitru
    SUPERLATTICES AND MICROSTRUCTURES, 2017, 112 : 296 - 302
  • [24] Toroidal solitons in 3+1 dimensional integrable theories
    Aratyn, H
    Ferreira, LA
    Zimerman, AH
    PHYSICS LETTERS B, 1999, 456 (2-4) : 162 - 170
  • [25] (3+1)-dimensional superluminal spatiotemporal optical solitons and vortices at weak light level
    Li, Hui-jun
    Wu, Yuan-po
    Hang, Chao
    Huang, Guoxiang
    PHYSICAL REVIEW A, 2012, 86 (04):
  • [26] Investigating innovative optical solitons fora (3+1)- dimensional nonlinear Schrödinger's equation under the influences of 4th-order dispersive and parabolic law of nonlinearities
    Khalifa, Abeer S.
    Ahmed, Hamdy M.
    Badra, Niveen M.
    Rabie, Wafaa B.
    Emadifar, Homan
    RESULTS IN OPTICS, 2024, 17
  • [27] Fractional optical solitons for the conformable space-time nonlinear Schrodinger equation with Kerr law nonlinearity
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    Baleanu, Dumitru
    OPTICAL AND QUANTUM ELECTRONICS, 2018, 50 (03)
  • [28] Fractional optical solitons for the conformable space–time nonlinear Schrödinger equation with Kerr law nonlinearity
    Mustafa Inc
    Abdullahi Yusuf
    Aliyu Isa Aliyu
    Dumitru Baleanu
    Optical and Quantum Electronics, 2018, 50
  • [29] On dark optical solitons of the space-time nonlinear Schrodinger equation with fractional complex transform for Kerr and power law nonlinearities
    Yusuf, Abdullahi
    Inc, Mustafa
    Aliyu, Aliyu Isa
    JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, 2018, 6 (02) : 114 - 120
  • [30] Exact wave patterns and chaotic dynamical behaviors of the extended (3+1)-dimensional NLSE
    Yang, Ninghe
    AIMS MATHEMATICS, 2024, 9 (11): : 31274 - 31294
12345