IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/367425.html
   My bibliography  Save this article

Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation

Author

Listed:
  • Sheng Zhang
  • Meitong Chen

Abstract

The Painlevé integrability of the -dimensional Fokas equation is verified by the WTC method of Painlevé analysis combined with a new and more general transformation. By virtue of the truncated Painlevé expansion, two new exact solutions with arbitrary differentiable functions are obtained. Thanks to the arbitrariness of the included functions, the obtained exact solutions not only possess rich spatial structures but also help to bring about two-wave solutions and three-wave solutions. It is shown that the transformation adopted in this work plays a key role in testing the Painlevé integrability and constructing the exact solutions of the Fokas equation.

Suggested Citation

  • Sheng Zhang & Meitong Chen, 2015. "Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, December.
    • Handle: RePEc:hin:jnlmpe:367425
    DOI: 10.1155/2015/367425
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2015/367425.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2015/367425.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/367425?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
    ---><---

    Citations

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


    Cited by:

    1. Sadat, R. & Saleh, R. & Kassem, M. & Mousa, Mohamed M., 2020. "Investigation of Lie symmetry and new solutions for highly dimensional non-elastic and elastic interactions between internal waves," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Wael W. Mohammed & Clemente Cesarano & Farah M. Al-Askar, 2022. "Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative," Mathematics, MDPI, vol. 11(1), pages 1-13, December.

    More about this item

    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:hin:jnlmpe:367425. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.