Optical solitons to time-fractional Sasa-Satsuma higher-order non-linear Schrodinger equation via three analytical techniques

被引:10
|
作者
Raheel, M. [1 ]
Zafar, Asim [2 ]
Inc, Mustafa [3 ,4 ]
Tala-Tebue, E. [5 ]
机构
[1] Inst Southern Punjab, Dept Math & Stat, Multan, Pakistan
[2] COMSATS Univ Islamabad, Dept Math, Vehari Campus, Islamabad, Pakistan
[3] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkiye
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Fotso Victor Univ Inst Technol, Dept Telecommun & Network Engn, Lab Automat & Informat Apl LAIA, POB 134, Bandjoun, Cameroon
关键词
Sasa-Satsuma equation; Beta-time fractional derivative; EJEEFM; exp(a) function method; Kudryashov method; soliton;
D O I
10.1007/s11082-023-04565-7
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
This current research is about the exact solitons of time-fractional Sasa-Satsuma higher order non-linear Schrodinger equation with novel definition of derivative that are achieved with the use of three analytical methods i.e extended Jacobi's elliptic expansion function method (EJEEFM), exp(a) function method and Kudryashov method. The obtained optical solitons are verified with the use of Mathematica software. Finally, different graphs are also drawn of the gained solutions. The main purpose of our work is to explain the effect of beta-time fractional derivative on the solutions of Sasa-Satsuma equation that are gained with the use of EJEEF, exp(a )function, Kudryashov methods. These exact solitons show that these three techniques are efficient, simple and reliable than other techniques.
引用
收藏
页数:19
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  • [1] Optical solitons to time-fractional Sasa-Satsuma higher-order non-linear Schrödinger equation via three analytical techniques
    M. Raheel
    Asim Zafar
    Mustafa Inc
    E. Tala-Tebue
    [J]. Optical and Quantum Electronics, 2023, 55
  • [2] Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrodinger equation
    Khodadad, F. Samsami
    Mirhosseini-Alizamini, S. M.
    Gunay, B.
    Akinyemi, Lanre
    Rezazadeh, Hadi
    Inc, Mustafa
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2021, 53 (12)
  • [3] Dynamics of optical solitons in higher-order Sasa-Satsuma equation
    Yao, Shao-Wen
    Akinyemi, Lanre
    Mirzazadeh, Mohammad
    Inc, Mustafa
    Hosseini, Kamyar
    Senol, Mehmet
    [J]. RESULTS IN PHYSICS, 2021, 30
  • [4] Higher-order time-fractional Sasa-Satsuma equation: Various optical soliton solutions in fiber
    Murad, Muhammad Amin S.
    Ismael, Hajar F.
    Sulaiman, Tukur A.
    Shah, Nehad A.
    Chung, Jae Dong
    [J]. RESULTS IN PHYSICS, 2023, 55
  • [5] Higher-order Sasa-Satsuma equation: Bright and dark optical solitons
    Wazwaz, Abdul-Majid
    Mehanna, Mona
    [J]. OPTIK, 2021, 243
  • [6] Abundant optical solitons to the Sasa-Satsuma higher-order nonlinear Schrödinger equation
    F. Samsami Khodadad
    S. M. Mirhosseini-Alizamini
    B. Günay
    Lanre Akinyemi
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    Mustafa Inc
    [J]. Optical and Quantum Electronics, 2021, 53
  • [7] Optical solitons of a time-fractional higher-order nonlinear Schrodinger equation
    Fang, Jia-Jie
    Dai, Chao-Qing
    [J]. OPTIK, 2020, 209
  • [8] Spectral and soliton structures of the Sasa-Satsuma higher-order nonlinear Schrodinger equation
    Wu, Jianping
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (02)
  • [9] Analytical soliton solutions of time-fractional higher-order Sasa-Satsuma equations: nonlinear optics and beyond and the impact of fractional-order derivative
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    Khatun, Mst. Munny
    [J]. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56 (02)
  • [10] Sasa-Satsuma higher-order nonlinear Schrodinger equation and its bilinearization and multisoliton solutions
    Gilson, C
    Hietarinta, J
    Nimmo, J
    Ohta, Y
    [J]. PHYSICAL REVIEW E, 2003, 68 (01):