IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i03ns0218348x22500645.html
   My bibliography  Save this article

Abundant Exact Traveling Wave Solutions To The Local Fractional (3+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation

Author

Listed:
  • KANG-JIA WANG

    (School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, Henan 454003, P. R. China)

  • GUO-DONG WANG

    (School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, Henan 454003, P. R. China)

  • FENG SHI

    (School of Physics and Electronic Information Engineering, Henan Polytechnic University, Jiaozuo, Henan 454003, P. R. China)

Abstract

Based on the local fractional derivative, we develop a new local fractional (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. With the help of the traveling wave transform of the nondifferentiable type, we convert the local fractional equation into a nonlinear local fractional ordinary differential equation (ODE). Then the Mittag-Leffler function-based method is presented here for the first time to construct the abundant nondifferentiable exact traveling wave solutions, and three families (six sets) of the exact solutions are obtained. In addition, the performances of different solutions on the Cantor set are presented via numerical results in the form of 3D plots. It reveals that the proposed method is simple and straightforward, which can be used to study the local fractional partial differential equations (PDEs).

Suggested Citation

  • Kang-Jia Wang & Guo-Dong Wang & Feng Shi, 2022. "Abundant Exact Traveling Wave Solutions To The Local Fractional (3+1)-Dimensional Boiti–Leon–Manna–Pempinelli Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(03), pages 1-8, May.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:03:n:s0218348x22500645
    DOI: 10.1142/S0218348X22500645
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22500645
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22500645?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 search for a different version of it.

    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:30:y:2022:i:03:n:s0218348x22500645. 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.