IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v23y2005i3p1055-1061.html
   My bibliography  Save this article

A new representation of N-soliton solution and limiting solutions for the fifth order KdV equation

Author

Listed:
  • Zhang, Yi
  • Chen, Deng-yuan

Abstract

A new representation of N-soliton solution of the fifth order KdV equation is obtained by using Bäcklund transformation method. It is shown that the new representation of N-soliton solution is in agreement with Hirota’s expression. Some novel soliton solutions are derived by performing an appropriate limiting procedure on the known soliton solutions.

Suggested Citation

  • Zhang, Yi & Chen, Deng-yuan, 2005. "A new representation of N-soliton solution and limiting solutions for the fifth order KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 23(3), pages 1055-1061.
    • Handle: RePEc:eee:chsofr:v:23:y:2005:i:3:p:1055-1061
    DOI: 10.1016/j.chaos.2004.06.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077904003650
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2004.06.065?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.

    Citations

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


    Cited by:

    1. Ilison, Lauri & Salupere, Andrus, 2009. "Propagation of sech2-type solitary waves in hierarchical KdV-type systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3314-3327.
    2. Chen, Peng & Wang, Guang-sheng & Zhang, Da-jun, 2009. "The limit solutions of the difference–difference KdV equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 376-381.
    3. Zhang, Yi & Zhao, Hai-qiong & Li, Ji-bin, 2009. "The long wave limiting of the discrete nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2965-2972.

    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:23:y:2005:i:3:p:1055-1061. 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: 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.