IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/181275.html
   My bibliography  Save this article

Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations

Author

Listed:
  • Ivan Tsyfra
  • Tomasz Czyżycki

Abstract

We study the symmetry reduction of nonlinear partial differential equations with two independent variables. We propose new ansätze reducing nonlinear evolution equations to system of ordinary differential equations. The ansätze are constructed by using operators of nonpoint classical and conditional symmetry. Then we find solution to nonlinear heat equation which cannot be obtained in the framework of the classical Lie approach. By using operators of Lie-Bäcklund symmetries we construct the solutions of nonlinear hyperbolic equations depending on arbitrary smooth function of one variable too.

Suggested Citation

  • Ivan Tsyfra & Tomasz Czyżycki, 2015. "Nonpoint Symmetry and Reduction of Nonlinear Evolution and Wave Type Equations," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-6, October.
    • Handle: RePEc:hin:jnlaaa:181275
    DOI: 10.1155/2015/181275
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2015/181275.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2015/181275.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/181275?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:jnlaaa:181275. 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.