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A study of propagation of the ultra-short femtosecond pulses in an optical fiber by using the extended generalized Riccati equation mapping method

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Abstract

In this study, the propagation of the ultra-short femtosecond pulses in an optical fiber is modeled by the Kundu–Eckhaus equation with cubic, quintic nonlinearities, and the Raman effect. The Kundu–Eckhaus equation is a special class of nonlinear Schrödinger equation. To find optical soliton solutions, the extended generalised Riccati equation mapping method is applied. The Kundu–Eckhaus equation is a special class of nonlinear Schrödinger equation. To find optical soliton solutions, the extended generalized Riccati equation mapping method is applied. The generalized Riccati equation mapping method is used in conjunction with the \((G'/G)\)-expansion method, which is known for its high accuracy and ability to construct exact solutions for a variety of nonlinear partial differential equations. The obtained solutions provide an sound explanation of the propagation of ultra-short femtosecond pulses in an optical fibers. The discovered solutions are illustrated graphically through 3D and contour graphs using Matlab.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan

    Zuha Manzoor, Shabbir Hussain & Farrah Ashraf

  2. Department of H & BS, Military College of Signals, NUST, Islamabad, Pakistan

    Muhammad Sajid Iqbal

  3. Science Faculty, Department, Mathematics, Firat University, 23119, Elizag, Turkey

    Mustafa Inc

  4. Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

    Mustafa Inc

  5. Civil Engineering Department, The University of Lahore, Lahore, Pakistan

    Muhammad Akhtar Tarar

  6. Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE

    Shaher Momani

  7. Department of Mathematics, Faculty of Science, University of Jordan, Amman, 11942, Jordan

    Shaher Momani

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  1. Zuha Manzoor
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Manzoor, Z., Iqbal, M.S., Hussain, S. et al. A study of propagation of the ultra-short femtosecond pulses in an optical fiber by using the extended generalized Riccati equation mapping method. Opt Quant Electron 55, 717 (2023). https://doi.org/10.1007/s11082-023-04934-2

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