IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i12p2686-d1170294.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/12/2686/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/12/2686/
    Download Restriction: no
    ---><---

    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Saleh Alshammari & Othman Abdullah Almatroud & Mohammad Alshammari & Hamzeh Zureigat & M. Mossa Al-Sawalha, 2024. "Exploring Kink Solitons in the Context of Klein–Gordon Equations via the Extended Direct Algebraic Method," Mathematics, MDPI, vol. 12(21), pages 1-29, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nazir, Aqsa & Ahmed, Naveed & Khan, Umar & Mohyud-din, Syed Tauseef, 2020. "On stability of improved conformable model for studying the dynamics of a malnutrition community," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    2. Uçar, Sümeyra & Uçar, Esmehan & Özdemir, Necati & Hammouch, Zakia, 2019. "Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 300-306.
    3. Wedad Albalawi & Rasool Shah & Nehad Ali Shah & Jae Dong Chung & Sherif M. E. Ismaeel & Samir A. El-Tantawy, 2023. "Analyzing Both Fractional Porous Media and Heat Transfer Equations via Some Novel Techniques," Mathematics, MDPI, vol. 11(6), pages 1-19, March.
    4. Erman, Sertaç & Demir, Ali, 2020. "On the construction and stability analysis of the solution of linear fractional differential equation," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    5. Abdel-Gawad, Hamdy I. & Baleanu, Dumitru & Abdel-Gawad, Ahmed H., 2021. "Unification of the different fractional time derivatives: An application to the epidemic-antivirus dynamical system in computer networks," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    6. Bhuvaneswari Sambandham & Aghalaya S. Vatsala, 2015. "Basic Results for Sequential Caputo Fractional Differential Equations," Mathematics, MDPI, vol. 3(1), pages 1-16, March.
    7. Singh, Jagdev & Kumar, Devendra & Nieto, Juan J., 2017. "Analysis of an El Nino-Southern Oscillation model with a new fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 109-115.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2686-:d:1170294. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.