IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v31y2023i10ns0218348x23400042.html
   My bibliography  Save this article

Novel Bright And Kink Optical Soliton Solutions Of Fractional Lakshmanan–Porsezian–Daniel Equation With Kerr Law Nonlinearity In Conformable Sense

Author

Listed:
  • M. ALABEDALHADI

    (Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan)

  • S. ALHAZMI

    (��Mathematics Department, College of Education for Girls at Al-Qunfudah, Umm Al-Qura University, Mecca KSA, Al-Kharj 11942, Saudi Arabia)

  • S. AL-OMARI

    (��Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 11134, Jordan)

  • M. Al-SMADI

    (�College of Commerce and Business, Lusail University, Lusail, Qatar¶Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, UAE)

  • S. MOMANI

    (�Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, UAE∥Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan)

Abstract

The fractional Lakshmanan–Porsezian–Daniel equation (LPD) is a significant complex model for the fractional Schrödinger family which arises in quantum physics. This paper explores new bright and kink soliton solutions of the space-time fractional LPD equation with the Kerr law of nonlinearity. By considering the conformable derivatives, the governing model is translated into integer-order differential equations with the aid of an appropriate complex traveling wave transformation. Dynamic behavior and phase portrait of traveling wave solutions are investigated. Further, various types of bright and kinked soliton solutions under definite parametric settings are discussed. Moreover, graphical representations of the obtained solution of the diverse fractional order are depicted to naturally illustrate the constructed solution.

Suggested Citation

  • M. ALABEDALHADI & S. ALHAZMI & S. AL-OMARI & M. Al-SMADI & S. MOMANI, 2023. "Novel Bright And Kink Optical Soliton Solutions Of Fractional Lakshmanan–Porsezian–Daniel Equation With Kerr Law Nonlinearity In Conformable Sense," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(10), pages 1-15.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23400042
    DOI: 10.1142/S0218348X23400042
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400042
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X23400042?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:wsi:fracta:v:31:y:2023:i:10:n:s0218348x23400042. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.