IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v30y2006i5p1238-1249.html
   My bibliography  Save this article

Peakons and periodic cusp wave solutions in a generalized Camassa–Holm equation

Author

Listed:
  • Zhang, Lijun
  • Chen, Li-Qun
  • Huo, Xuwen

Abstract

By using the bifurcation theory of planar dynamical systems to a generalized Camassa–Holm equationmt+c0ux+umx+2mux=-γuxxxwith m=u−α2uxx, α≠0, c0, γ are constant, which is called CH-r equation, the existence of peakons and periodic cusp wave solutions is obtained. The analytic expressions of the peakons and periodic cusp wave solutions are given and numerical simulation results show the consistence with the theoretical analysis at the same time.

Suggested Citation

  • Zhang, Lijun & Chen, Li-Qun & Huo, Xuwen, 2006. "Peakons and periodic cusp wave solutions in a generalized Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1238-1249.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:5:p:1238-1249
    DOI: 10.1016/j.chaos.2005.08.202
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077905008611
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.08.202?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.

    References listed on IDEAS

    as
    1. Shen, Jianwei & Xu, Wei, 2005. "Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa–Holm equation," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1149-1162.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xu, Wei & Shen, Jianwei, 2008. "Solitary and periodic traveling wave solutions for a class of coupled nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 912-917.
    2. Song, Ming & Liu, Zhengrong, 2014. "Periodic wave solutions and their limits for the ZK–BBM equation," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 9-26.

    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:eee:chsofr:v:30:y:2006:i:5:p:1238-1249. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-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.