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Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity

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Abstract

In this article, we examine the Perturbed Gerdjikov-Ivanov equation by using the Jacobi elliptic function expansion method. This results in obtaining distinct solutions including dark, bright, singular solitons, periodic waves, singular periodic waves, and Jacobi elliptic function solutions. The 2- and 3-dimensional graphs of the reported solutions are presented. The reported results may be useful in explaining the physical features of the studied equation.

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Authors and Affiliations

  1. Department of Mathematics, University of Zakho, Zakho, Iraq

    Karmina K. Ali

  2. Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey

    Sibel Tarla & Resat Yilmazer

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

    Tukur Abdulkadir Sulaiman

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  1. Karmina K. Ali
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  2. Sibel Tarla
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  3. Tukur Abdulkadir Sulaiman
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  4. Resat Yilmazer
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Correspondence to Sibel Tarla.

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Ali, K.K., Tarla, S., Sulaiman, T.A. et al. Optical solitons to the Perturbed Gerdjikov-Ivanov equation with quantic nonlinearity. Opt Quant Electron 55, 179 (2023). https://doi.org/10.1007/s11082-022-04418-9

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  • DOI: https://doi.org/10.1007/s11082-022-04418-9

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