IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/548920.html
   My bibliography  Save this article

Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation

Author

Listed:
  • Jiuli Yin
  • Liuwei Zhao
  • Shanyu Ding

Abstract

Using an improved qualitative method which combines characteristics of several methods, we classify all travelling wave solutions of the modified Degasperis-Procesi equation in specified regions of the parametric space. Besides some popular exotic solutions including peaked waves, and looped and cusped waves, this equation also admits some very particular waves, such as fractal-like waves, double stumpons, double kinked waves, and butterfly-like waves. The last three types of solutions have not been reported in the literature. Furthermore, we give the limiting behavior of all periodic solutions as the parameters trend to some special values.

Suggested Citation

  • Jiuli Yin & Liuwei Zhao & Shanyu Ding, 2014. "Limiting Behavior of Travelling Waves for the Modified Degasperis-Procesi Equation," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-13, July.
    • Handle: RePEc:hin:jnlamp:548920
    DOI: 10.1155/2014/548920
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2014/548920.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2014/548920.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/548920?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:jnlamp:548920. 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.