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Investigating Symmetric Soliton Solutions for the Fractional Coupled Konno–Onno System Using Improved Versions of a Novel Analytical Technique

Author

Listed:
  • Humaira Yasmin

    (Department of Basic Sciences, Preparatory Year Deanship, King Faisal University, Al-Ahsa 31982, Saudi Arabia)

  • Noufe H. Aljahdaly

    (Department of Mathematics, Faculty of Sciences and Arts, King Abdulaziz University, Rabigh 21911, Saudi Arabia)

  • Abdulkafi Mohammed Saeed

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia)

  • Rasool Shah

    (Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan)

Abstract

The present research investigates symmetric soliton solutions for the Fractional Coupled Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct Algebraic Method (EDAM) i.e., modified EDAM (mEDAM) and r +mEDAM. By obtaining precise analytical solutions, this research explores the characteristics and behaviours of symmetric solitons in FCKOS. Further, the amplitude, shape and propagation behaviour of some solitons are visualized by means of a 3D graph. This investigation fosters a more thorough comprehension of non-linear wave phenomena in considered systems and offers helpful insights towards soliton behavior in it. The outcomes reveal that the recommended techniques are successful in constructing symmetric soliton solutions for complex models like the FCKOS.

Suggested Citation

  • Humaira Yasmin & Noufe H. Aljahdaly & Abdulkafi Mohammed Saeed & Rasool Shah, 2023. "Investigating Symmetric Soliton Solutions for the Fractional Coupled Konno–Onno System Using Improved Versions of a Novel Analytical Technique," Mathematics, MDPI, vol. 11(12), pages 1-30, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2686-:d:1170294
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    References listed on IDEAS

    as
    1. A. A. Alderremy & Shaban Aly & Rabia Fayyaz & Adnan Khan & Rasool Shah & Noorolhuda Wyal & C. Rajivganthi, 2022. "The Analysis of Fractional-Order Nonlinear Systems of Third Order KdV and Burgers Equations via a Novel Transform," Complexity, Hindawi, vol. 2022, pages 1-24, June.
    2. Jagdev Singh & Devendra Kumar & Adem Kılıçman, 2014. "Numerical Solutions of Nonlinear Fractional Partial Differential Equations Arising in Spatial Diffusion of Biological Populations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, August.
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