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On some novel optical solitons to the cubic–quintic nonlinear Helmholtz model

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Abstract

The purpose of this study is to employ the Sine–Cosine expansion approach to produce some new sort of soliton solutions for the cubic–quintic nonlinear Helmholtz problem. The nonlinear complex model compensates for backward scattering effects that are overlooked in the more popular nonlinear Schrödinger equation. As a result, a number of novel traveling wave structures have been discovered. We also investigate the stability of solitary wave solutions for the governing model. Furthermore, the modulation instability is discussed by employing the standard linear-stability analysis. The 3D, contour and 2D graphs are visualized for several fascinating exact solutions to comprehend their behaviour.

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The data used to support the findings of this study are available from the corresponding author upon request.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang, 212013, China

    Mostafa M. A. Khater

  2. Department of Medical Research, Obour High Institute for Engineering and Technology, Cairo, 11828, Egypt

    Mostafa M. A. Khater

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

    Mustafa Inc

  4. Department of Medical Research, China Medical University, Taichung, Taiwan

    Mustafa Inc

  5. Department of Mathematics, Mirpur University of Science and Technology (MUST), Mirpur, AJK, 10250, Pakistan

    Kalim U. Tariq & Hamza Ilyas

  6. Department of Mathematics, College of Science, King Saud University, Riyadh, 11451, Saudi Arabia

    Fairouz Tchier

  7. Department of Mathematics, Cankaya University, Balgat, 06530, Ankara, Turkey

    Dumitru Baleanu

  8. Institute of Space Sciences, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

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  1. Mostafa M. A. Khater
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Khater, M.M.A., Inc, M., Tariq, K.U. et al. On some novel optical solitons to the cubic–quintic nonlinear Helmholtz model. Opt Quant Electron 54, 848 (2022). https://doi.org/10.1007/s11082-022-04250-1

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