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W-Shaped Bright Soliton of the (2 + 1)-Dimension Nonlinear Electrical Transmission Line

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  • Mustafa Inc

    (Department of Mathematics, Faculty of Science, Firat University, 23119 Elazig, Turkey
    Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn, Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia)

  • Ravi P. Agarwal

    (Department of Mathematics, Texas A & M University-Kingsville, 700 University Blvd., Kingsville, TX 78363-8202, USA)

Abstract

In this paper, we investigate solitary wave solutions of the nonlinear electrical transmission line by using the Jacobi elliptic function and the auxiliary equation methods. We obtain Jacobi elliptic function solutions as well as kink, bright, dark, and W-shaped solitons as a result. For specific values of the Jacobi elliptic modulus, we depict bright, dark, and W-shaped soliton solutions as suitable parameters of the structure. Using the auxiliary equation method gives the combined bright–bright and dark–dark optical solitons in optical fibers. One result emerges from this analysis: the potential parameters and free parameters of the method can be employed to degenerate W-shaped bright and dark solitons. The acquired results are general and can be used for many applications in nonlinear dynamic systems.

Suggested Citation

  • Mustafa Inc & Rubayyi T. Alqahtani & Ravi P. Agarwal, 2023. "W-Shaped Bright Soliton of the (2 + 1)-Dimension Nonlinear Electrical Transmission Line," Mathematics, MDPI, vol. 11(7), pages 1-13, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:7:p:1703-:d:1114172
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    References listed on IDEAS

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    1. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
    2. Djelah, Gabriel & Ndzana, Fabien II & Abdoulkary, Saidou & Mohamadou, Alidou, 2023. "First and second order rogue waves dynamics in a nonlinear electrical transmission line with the next nearest neighbor couplings," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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