Fractional optical solitons for the conformable space-time nonlinear Schrodinger equation with Kerr law nonlinearity

被引：17
|
作者：
Inc, Mustafa [1 ]
Yusuf, Abdullahi [1 ,2 ]
Aliyu, Aliyu Isa [1 ,2 ]
Baleanu, Dumitru [3 ,4 ]
机构：
[1] Firat Univ, Fac Sci, Dept Math, TR-23119 Elazig, Turkey
[2] Fed Univ Dutse, Sci Fac, Dept Math, Jigawa 7156, Nigeria
[3] Cankaya Univ, Dept Math, TR-1406530 Ankara, Turkey
[4] Inst Space Sci, Bucharest, Romania
来源：
OPTICAL AND QUANTUM ELECTRONICS | 2018年 / 50卷 / 03期
关键词：
CSTNLSE; PR method; EJEF method and conformable derivative; LIE SYMMETRY ANALYSIS; CONSERVATION-LAWS; WAVE SOLUTIONS;
D O I：
10.1007/s11082-018-1410-7
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, we obtain new soliton solutions for the conformable space-time nonlinear Schrodinger equation (CSTNLSE) with Kerr law nonlinearity. Two integration schemes which are projective Ricatti and extended Jacobi elliptic function methods are applied to reach such solutions. The constraints conditions for the existence of soliton solutions are reported. Numerical simulations for some of the obtained solutions are presented.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Dark and singular optical solitons for the conformable space-time nonlinear Schrodinger equation with Kerr and power law nonlinearity
    Inc, Mustafa
    Yusuf, Abdullahi
    Aliyu, Aliyu Isa
    Baleanu, Dumitru
    [J]. OPTIK, 2018, 162 : 65 - 75
  • [2] Fractional optical solitons for the conformable space–time nonlinear Schrödinger equation with Kerr law nonlinearity
    Mustafa Inc
    Abdullahi Yusuf
    Aliyu Isa Aliyu
    Dumitru Baleanu
    [J]. Optical and Quantum Electronics, 2018, 50
  • [3] Fractional optical solitons of the space-time fractional nonlinear Schrodinger equation
    Wu, Gang-Zhou
    Yu, Li-Jun
    Wang, Yue-Yue
    [J]. OPTIK, 2020, 207
  • [4] A series of abundant new optical solitons to the conformable space-time fractional perturbed nonlinear Schrodinger equation
    Nestor, Savaissou
    Houwe, Alphonse
    Betchewe, Gambo
    Inc, Mustafa
    Doka, Serge Y.
    [J]. PHYSICA SCRIPTA, 2020, 95 (08)
  • [5] Optical solitons and other solutions to the conformable space-time fractional complex Ginzburg-Landau equation under Kerr law nonlinearity
    Sulaiman, Tukur Abdulkadir
    Baskonus, Haci Mehmet
    Bulut, Hasan
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2018, 91 (04):
  • [6] 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
    [J]. JOURNAL OF COUPLED SYSTEMS AND MULTISCALE DYNAMICS, 2018, 6 (02) : 114 - 120
  • [7] Optical solitons for conformable space-time fractional nonlinear model
    Asjad, Muhammad Imran
    Ullah, Naeem
    Rehman, Hamood Ur
    Baleanu, Dumitru
    [J]. JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 27 (01): : 28 - 41
  • [8] Optical solitons with full nonlinearity for the conformable space-time fractional Fokas-Lenells equation
    Sajid, Naila
    Akram, Ghazala
    [J]. OPTIK, 2019, 196
  • [9] Optical solitons and other solutions to the conformable space–time fractional complex Ginzburg–Landau equation under Kerr law nonlinearity
    Tukur Abdulkadir Sulaiman
    Haci Mehmet Baskonus
    Hasan Bulut
    [J]. Pramana, 2018, 91
  • [10] Optical Solitons for the Perturbed Nonlinear Schrodinger Equation with Kerr Law and Non-Kerr Law Nonlinearity
    Gao, Hui
    Xu, Tianzhou
    Wang, Gangwei
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2018, 73 (04): : 315 - 321
12345