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Explore dynamical soliton propagation to the fractional order nonlinear evolution equation in optical fiber systems

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Abstract

This research opts to construct some innovative and further general solutions of nonlinear traveling waves to the time fractional Gardner and Sharma-Tasso-Olver equations, which are frequently used to investigate an electrical line of communication and contain electrical energy as well as current, both of which are affected by distance and time, fission and fusion phenomena arise in optical fiber, and many more The new generalized (G′/G)-expansion approaches applied to the proposed equations to find innovative, precise results via conformable derivatives. Some dynamical wave patterns of single solitons, double solitons, singular-kink type waves, kink types waves, and other soliton solutions are achieved using the suggested technique with the aid of simulation package Maple and Mathematica and presented the solutions with 3D, contour, and vector plotlines to better depict the physical illustration. This approach produces some attractive, quicker-to-generate, simple, general results that are versatile, and novel outcomes for the suggested nonlinear fractional partial differential equations.

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Acknowledgements

The authors would like to express their sincere thanks to the anonymous referees for their valuable comments and suggestions to improve the article. The authors also would like express their gratitude to the Research Cell of Jashore University of Science and Technology for providing the support of this research.

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Authors and Affiliations

  1. Department of Mathematics, Jashore University of Science and Technology, Jashore, 7408, Bangladesh

    U. H. M. Zaman, Mohammad Asif Arefin & M. Hafiz Uddin

  2. Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205, Bangladesh

    M. Ali Akbar

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  1. U. H. M. Zaman
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  2. Mohammad Asif Arefin
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  3. M. Ali Akbar
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  4. M. Hafiz Uddin
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Contributions

UHMZ: Software, Data Curation, Writing, Formal Analysis. MAA: Data Curation, Software, Formal Analysis, Writing. MAA: Writing-Reviewing Editing, Investigation. MHU: Conceptualization, Supervision, Writing-Reviewing Editing, Validation.

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Correspondence to M. Hafiz Uddin.

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Zaman, U.H.M., Arefin, M.A., Akbar, M.A. et al. Explore dynamical soliton propagation to the fractional order nonlinear evolution equation in optical fiber systems. Opt Quant Electron 55, 1295 (2023). https://doi.org/10.1007/s11082-023-05474-5

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