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Optical soliton solutions of the nonlinear coupled Konno–Oono system by using the new analytical approach and modulation instability analysis
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  • Published: 07 May 2026

Optical soliton solutions of the nonlinear coupled Konno–Oono system by using the new analytical approach and modulation instability analysis

  • Mujahid Iqbal1,2,
  • David Yaro3,
  • Wilson Osafo Apeanti4,
  • Saviour Worlanyo Akuamoah5,
  • Abeer Aljohani6,
  • Soumaya Gouadria7 &
  • …
  • Baboucarr Ceesay8 

Scientific Reports (2026) Cite this article

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Subjects

  • Mathematics and computing
  • Optics and photonics
  • Physics

Abstract

This study primarily aims to apply the Riccati equation rational expansion method (REREM) to the nonlinear coupled Konno–Oono system (NCKOS) in order to construct novel and flexible optical soliton solutions. In addition, the modulation instability of the NCKOS is examined. The NCKOS represents current–field strings that interact with an external magnetic field. By employing REREM, we obtain various new types of solutions, including hyperbolic, bright, dark, periodic, kink and anti-kink, peakon, bell–shaped, and many other solitary wave structures. Several physical illustrations of some of the derived solutions are provided to enhance clarity. The findings demonstrate that the proposed technique is more powerful, efficient, and effective for investigating the solutions of other complex nonlinear models. Furthermore, the newly obtained solutions have potential applications in hydrodynamics, solid-state physics, cosmology, ecology, and quantum electronics.

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Acknowledgements

The authors extend their appreciation to Princess Nourah bint Abdualrahman University Researchers Supporting Project number (PNURSP2026R184), Princess Nourah bint Abdualrahman University, Riyadh, Saudi Arabia.

Author information

Authors and Affiliations

  1. College of Information Science and Technology, Dalian Maritime University, Dalian, 116026, Liaoning, PR China

    Mujahid Iqbal

  2. Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan

    Mujahid Iqbal

  3. School of Applied Sciences and Technology, Cape Coast Technical University, P. O. Box DL 50, Cape Coast, Ghana

    David Yaro

  4. Department of ICT Education, University of Education, P. O. Box 25, Winneba, Ghana

    Wilson Osafo Apeanti

  5. Faculty of Applied Science and Technology, Ho Technical University, P. O. Box HP 217, Ho, Ghana

    Saviour Worlanyo Akuamoah

  6. Department of Computer Science and Informatics, Applied College, Taibah University, Madinah, 42353, Saudi Arabia

    Abeer Aljohani

  7. Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia

    Soumaya Gouadria

  8. Mathematics Unit, University of The Gambia, P. O. Box 3530, Serekunda, The Gambia

    Baboucarr Ceesay

Authors
  1. Mujahid Iqbal
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  2. David Yaro
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  3. Wilson Osafo Apeanti
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  4. Saviour Worlanyo Akuamoah
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  5. Abeer Aljohani
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  6. Soumaya Gouadria
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  7. Baboucarr Ceesay
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Corresponding authors

Correspondence to David Yaro or Baboucarr Ceesay.

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The authors declare no competing interests.

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Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

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Cite this article

Iqbal, M., Yaro, D., Apeanti, W.O. et al. Optical soliton solutions of the nonlinear coupled Konno–Oono system by using the new analytical approach and modulation instability analysis. Sci Rep (2026). https://doi.org/10.1038/s41598-026-51821-3

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  • Received: 13 March 2026

  • Accepted: 30 April 2026

  • Published: 07 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-51821-3

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Keywords

  • Nonlinear coupled Konno–Oono system
  • The Riccati equation rational expansion method
  • Modulation instability
  • Optical solitons
  • Solitary wave solutions
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