IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i1p138-d717001.html
   My bibliography  Save this article

Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm

Author

Listed:
  • Alyaa A. Al-Qarni

    (Department of Mathematics, College of Science, University of Bisha, P.O. Box 551, Bisha 61922, Saudi Arabia)

  • Huda O. Bakodah

    (Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi Arabia)

  • Aisha A. Alshaery

    (Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah 21959, Saudi Arabia)

  • Anjan Biswas

    (Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, Russia
    Mathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Applied Sciences, Cross–Border Faculty, Dunarea de Jos University of Galati, 111 Domneasca Street, 800201 Galati, Romania
    Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Medunsa 0204, South Africa)

  • Yakup Yıldırım

    (Department of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, Cyprus)

  • Luminita Moraru

    (Faculty of Sciences and Environment, Department of Chemistry, Physics and Environment, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania)

  • Simona Moldovanu

    (Department of Computer Science and Information Technology, Faculty of Automation, Computers, Electrical Engineering and Electronics, Dunarea de Jos University of Galati, 47 Domneasca Street, 800008 Galati, Romania)

Abstract

The current manuscript displays elegant numerical results for cubic-quartic optical solitons associated with the perturbed Fokas–Lenells equations. To do so, we devise a generalized iterative method for the model using the improved Adomian decomposition method (ADM) and further seek validation from certain well-known results in the literature. As proven, the proposed scheme is efficient and possess a high level of accuracy.

Suggested Citation

  • Alyaa A. Al-Qarni & Huda O. Bakodah & Aisha A. Alshaery & Anjan Biswas & Yakup Yıldırım & Luminita Moraru & Simona Moldovanu, 2022. "Numerical Simulation of Cubic-Quartic Optical Solitons with Perturbed Fokas–Lenells Equation Using Improved Adomian Decomposition Algorithm," Mathematics, MDPI, vol. 10(1), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:138-:d:717001
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/1/138/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/1/138/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. H. O. Bakodah & M. A. Banaja & A. A. Alshaery & A. A. Al Qarni, 2019. "Numerical Solution of Dispersive Optical Solitons with Schrödinger-Hirota Equation by Improved Adomian Decomposition Method," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-6, May.
    Full references (including those not matched with items on IDEAS)

    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. Alrashed, Reyouf & Djob, Roger Bertin & Alshaery, A.A. & Alkhateeb, Sadah A. & Nuruddeen, R.I., 2022. "Collective variables approach to the vector-coupled system of Chen-Lee-Liu equation," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

    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:10:y:2022:i:1:p:138-:d:717001. 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.