IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/490341.html
   My bibliography  Save this article

The Traveling Wave Solutions and Their Bifurcations for the BBM-Like Equations

Author

Listed:
  • Shaoyong Li
  • Zhengrong Liu

Abstract

We investigate the traveling wave solutions and their bifurcations for the BBM-like equations by using bifurcation method and numerical simulation approach of dynamical systems. Firstly, for BBM-like equation, we obtain some precise expressions of traveling wave solutions, which include periodic blow-up and periodic wave solution, peakon and periodic peakon wave solution, and solitary wave and blow-up solution. Furthermore, we reveal the relationships among these solutions theoretically. Secondly, for BBM-like equation, we construct two periodic wave solutions and two blow-up solutions. In order to confirm the correctness of these solutions, we also check them by software Mathematica.

Suggested Citation

  • Shaoyong Li & Zhengrong Liu, 2013. "The Traveling Wave Solutions and Their Bifurcations for the BBM-Like Equations," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-17, August.
    • Handle: RePEc:hin:jnljam:490341
    DOI: 10.1155/2013/490341
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/490341.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/490341.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/490341?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. Hu, Beibei & Zhang, Ling & Xia, Tiecheng & Zhang, Ning, 2020. "On the Riemann-Hilbert problem of the Kundu equation," Applied Mathematics and Computation, Elsevier, vol. 381(C).

    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:jnljam:490341. 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.