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Solitonic solutions of two variants of nonlinear Schrödinger model by using exponential function method

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Abstract

The main focus of this study is to extract the optical solitons of the two variants of the nonlinear Schrödinger model including the dispersive cubic-quintic nonlinear Schrödinger equation and nonlinear Schrödinger equation with group velocity dispersion. These models have dynamic applications in diversified domains of applied sciences, optical engineering and can be used in the propagation of light in nonlinear optical fibers. For this purpose, a well-organized method called the \(\exp\)-function method is implemented and derives optical soliton in the shape of dark, bright, periodic and kink. To validate the physical compatibility of the results, the 2D, 3D, contour, and density plots have been outlined using appropriate parametric values which assist the investigators to comprehend the physical phenomena of the governing equation. The results established in this manuscript are fresh and extend the numbers of previously published results. The acquired solutions exhibit that the applied computational methodology used is brief, concise, and reliable, resulting in fewer computations and broad applicability. The scrutinized wave’s outcomes are trustworthy to the researchers and also have imperious applications in mathematics and optical physics.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat, 50700, Pakistan

    Jamshad Ahmad, Zulaikha Mustafa &  Shafqat-Ur-Rehman

  2. Deparment of Mathematics and Statistics, Grand Asian University, Sialkot, 51310, Pakistan

    Aniqa Zulfiqar

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  1. Jamshad Ahmad
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  2. Zulaikha Mustafa
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  3. Shafqat-Ur-Rehman
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  4. Aniqa Zulfiqar
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Contributions

JA: Resources, acquisition, Supervision, Writing—review and editing, Validation. ZM: Conceptualization, Methodology, Software, Writing—original draft. S-Ur-R: Software, Formal analysis, Writing-review and editing. AZ: Resources, acquisition, Conceptualization, Writing—review and editing.

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Correspondence to Jamshad Ahmad.

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Ahmad, J., Mustafa, Z., Shafqat-Ur-Rehman et al. Solitonic solutions of two variants of nonlinear Schrödinger model by using exponential function method. Opt Quant Electron 55, 633 (2023). https://doi.org/10.1007/s11082-023-04901-x

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