IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9942267.html
   My bibliography  Save this article

New Periodic and Localized Traveling Wave Solutions to a Kawahara-Type Equation: Applications to Plasma Physics

Author

Listed:
  • Haifa A. Alyousef
  • Alvaro H. Salas
  • M. R. Alharthi
  • S. A. El-Tantawy
  • Viet-Thanh Pham

Abstract

In this study, some new hypotheses and techniques are presented to obtain some new analytical solutions (localized and periodic solutions) to the generalized Kawahara equation (gKE). As a particular case, some traveling wave solutions to both Kawahara equation (KE) and modified Kawahara equation (mKE) are derived in detail. Periodic and soliton solutions to this family are obtained. The periodic solutions are expressed in terms of Weierstrass elliptic functions (WSEFs) and Jacobian elliptic functions (JEFs). For KE, some direct and indirect approaches are carried out to derive the periodic and localized solutions. For mKE, two different hypotheses in the form of WSEFs are used to derive the periodic and localized solutions. Also, the cnoidal wave solutions in the form of JEFs are obtained. As a realistic physical application, the solutions obtained can be dedicated to studying many nonlinear waves that propagate in plasma.

Suggested Citation

  • Haifa A. Alyousef & Alvaro H. Salas & M. R. Alharthi & S. A. El-Tantawy & Viet-Thanh Pham, 2022. "New Periodic and Localized Traveling Wave Solutions to a Kawahara-Type Equation: Applications to Plasma Physics," Complexity, Hindawi, vol. 2022, pages 1-15, June.
    • Handle: RePEc:hin:complx:9942267
    DOI: 10.1155/2022/9942267
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2022/9942267.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2022/9942267.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9942267?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
    ---><---

    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:complx:9942267. 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.