IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i11p2562-d1163143.html
   My bibliography  Save this article

Exploration of New Solitons for the Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model

Author

Listed:
  • Melike Kaplan

    (Department of Computer Engineering, Faculty of Engineering and Architecture, Kastamonu University, 37150 Kastamonu, Turkey)

  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia)

Abstract

The key objective of the current manuscript was to investigate the exact solutions of the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we applied two reliable and efficient approaches; specifically, the modified simple equation (MSE) and exponential rational function (ERF) techniques. The methods considered in this paper offer solutions for problems in nonlinear theory and mathematical physics practice. We also present solutions obtained graphically with the Maple package program.

Suggested Citation

  • Melike Kaplan & Rubayyi T. Alqahtani, 2023. "Exploration of New Solitons for the Fractional Perturbed Radhakrishnan–Kundu–Lakshmanan Model," Mathematics, MDPI, vol. 11(11), pages 1-9, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2562-:d:1163143
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/11/2562/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/11/2562/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ragwa S. E. Alatwi & Abdulrahman F. Aljohani & Abdelhalim Ebaid & Hind K. Al-Jeaid, 2022. "Two Analytical Techniques for Fractional Differential Equations with Harmonic Terms via the Riemann–Liouville Definition," Mathematics, MDPI, vol. 10(23), pages 1-11, December.
    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. Mengke Yu & Cailiang Chen & Qiuyan Zhang, 2023. "Bifurcations and Exact Solutions of the Generalized Radhakrishnan–Kundu–Lakshmanan Equation with the Polynomial Law," Mathematics, MDPI, vol. 11(20), pages 1-28, October.

    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.

      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:11:p:2562-:d:1163143. 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.