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Optical soliton solutions for Kudryashov’s quintuple power-law coupled with dual form of non-local refractive index

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Abstract

The main goal of the article is to present the optical soliton solutions of the nonlinear Schrodinger equation, comprising Kudryashov’s quintuple power-law with dual form nonlinearity which has very important applications in domination soliton pulse propagation through optical fibers and photonic crystal fibers. To achieve our goal, two potent analytical techniques are employed: the Sardar-Subequation method and the new method \(\left( \frac{G^{\prime }}{k G^{\prime }+G+r}\right)\)-expansion method, which represent a novel approach not found in existing literature. Furthermore, our approach offers distinctive solutions characterized by a rich variety of trigonometric and hyperbolic functions. The majority of our results are depicted graphically to highlight our achievements.

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Acknowledgements

The researchers would to like acknowledge the deanship of scientific research, Taif university for funding this work.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt

    Khalid K. Ali

  2. Faculty of Engineering, MTI University, Cairo, Egypt

    M. S. Mehanna

  3. Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif, 21944, Saudi Arabia

    Mohamed S. Mohamed

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  1. Khalid K. Ali
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  2. M. S. Mehanna
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Ali, K.K., Mehanna, M.S. & Mohamed, M.S. Optical soliton solutions for Kudryashov’s quintuple power-law coupled with dual form of non-local refractive index. Opt Quant Electron 55, 1255 (2023). https://doi.org/10.1007/s11082-023-05512-2

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