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Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber

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Abstract

We examine the three-component coupled nonlinear Schrodinger equation that is used for the propagation of pulses to the nonlinear optical fiber. Multi-component NLSE equations have gained popularity because they can be used to demonstrate a vast array of complex observable systems as well as more kinetic patterns of localized wave solutions. The solutions are obtained by using the generalized exponential rational function method, a relatively new integration tool. We extract various optical solitons in different forms. Moreover, exponential, periodic solutions and solutions of the hyperbolic type are guaranteed. In addition to providing previously extracted solutions, the used approach also extracts new exact solutions and is beneficial for elucidating nonlinear partial differential equations. The graphs of different shapes are sketched for the attained solutions and some physical properties- are raised. The reported solutions in this work are new as they are compared to earlier similar studies. The results of this paper show that the used method is effective at improving the nonlinear dynamical behavior of a system. The findings show that the computational approach taken is successful, simple, and applicable even to complicated phenomena.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid, Jordan

    Imad Jaradat & Marwan Alquran

  2. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

    Tukur Abdulkadir Sulaiman & Abdullahi Yusuf

  3. Department of Computer Engineering, Biruni University, Istanbul, Turkey

    Tukur Abdulkadir Sulaiman & Abdullahi Yusuf

  4. Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia

    Ali S. Alshomrani

  5. Department of Mathematics, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  6. Institute of Space Sciences, Magurele, Bucharest, Romania

    Dumitru Baleanu

  7. Lebanese American University, 11022801, Beirut, Lebanon

    Dumitru Baleanu

Authors
  1. Imad Jaradat
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  2. Tukur Abdulkadir Sulaiman
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  3. Ali S. Alshomrani
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  4. Abdullahi Yusuf
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  5. Marwan Alquran
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  6. Dumitru Baleanu
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Contributions

IJ: Formal analysis, writing-original and original draft. TAS: formal analysis, writing—original draft, Writing—review and editing. ASA: supervision, review and editing. AY: conceptualization, formal analysis, writing—original draft, writing—review and editing. MA: formal analysis and editing. DB: supervision and review.

Corresponding author

Correspondence to Marwan Alquran.

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Jaradat, I., Sulaiman, T.A., Alshomrani, A.S. et al. Optical wave propagation to a nonlinear phenomenon with pulses in optical fiber. Opt Quant Electron 55, 361 (2023). https://doi.org/10.1007/s11082-023-04648-5

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