IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v32y2007i5p1655-1665.html
   My bibliography  Save this article

A new generalized algebra method and its application in the (2+1) dimensional Boiti–Leon–Pempinelli equation

Author

Listed:
  • Ren, Yu-Jie
  • Liu, Shu-Tian
  • Zhang, Hong-Qing

Abstract

In the present paper, some types of general solutions of a first-order nonlinear ordinary differential equation with six degree are given and a new generalized algebra method is presented to find more exact solutions of nonlinear differential equations. As an application of the method and the solutions of this equation, we choose the (2+1) dimensional Boiti Leon Pempinelli equation to illustrate the validity and advantages of the method. As a consequence, more new types and general solutions are found which include rational solutions and irrational solutions and so on. The new method can also be applied to other nonlinear differential equations in mathematical physics.

Suggested Citation

  • Ren, Yu-Jie & Liu, Shu-Tian & Zhang, Hong-Qing, 2007. "A new generalized algebra method and its application in the (2+1) dimensional Boiti–Leon–Pempinelli equation," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1655-1665.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:5:p:1655-1665
    DOI: 10.1016/j.chaos.2006.01.096
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906000968
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2006.01.096?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.

    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:32:y:2007:i:5:p:1655-1665. 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.