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Generating optical solitons in the extended (3 + 1)-dimensional nonlinear Kudryashov’s equation using the extended F-expansion method

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Abstract

This study centers on examining the characteristics of the recently extended \((3+1)\)-dimensional nonlinear equation proposed by Kudryashov. The extended F-expansion technique is employed to derive solitons and other exact wave solutions for this model. Applying this technique results in a diverse set of solutions, encompassing bright solitons, dark solitons, singular solitons, hyperbolic solutions, periodic solutions, singular periodic solutions, exponential solutions, rational solutions, and solutions involving Jacobi elliptic functions (JEF). This method proves to be a dependable and efficient approach for obtaining exact solutions for various nonlinear partial differential equations (NPDE). Visual representations through graphical illustrations are provided to depict the dynamics of selected solutions, and the influence of the parameter n on the obtained solutions is scrutinized and presented in pertinent figures. These discoveries not only advance our comprehension of nonlinear wave phenomena but also hold practical significance for fields related to wave propagation, nonlinear optics, and optical systems.

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Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Higher Institute of Engineering and Technology, Tanta, Egypt

    Wafaa B. Rabie

  2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El Shorouk Academy, El-Shorouk city, Cairo, Egypt

    Hamdy M. Ahmed

  3. Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran

    Mir Sajjad Hashemi

  4. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran

    Mohammad Mirzazadeh

  5. Department of Computer Engineering, Biruni University, 34010, Istanbul, Turkey

    Mustafa Bayram

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  1. Wafaa B. Rabie
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  2. Hamdy M. Ahmed
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  4. Mohammad Mirzazadeh
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  5. Mustafa Bayram
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Correspondence to Mir Sajjad Hashemi.

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Rabie, W.B., Ahmed, H.M., Hashemi, M.S. et al. Generating optical solitons in the extended (3 + 1)-dimensional nonlinear Kudryashov’s equation using the extended F-expansion method. Opt Quant Electron 56, 894 (2024). https://doi.org/10.1007/s11082-024-06787-9

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