IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/210304.html
   My bibliography  Save this article

Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces

Author

Listed:
  • Paul Bracken

Abstract

The intrinsic geometry of surfaces and Riemannian spaces will be investigated. It is shown that many nonlinear partial differential equations with physical applications and soliton solutions can be determined from the components of the relevant metric for the space. The manifolds of interest are surfaces and higher-dimensional Riemannian spaces. Methods for specifying integrable evolutions of surfaces by means of these equations will also be presented.

Suggested Citation

  • Paul Bracken, 2009. "Integrable Equations and Their Evolutions Based on Intrinsic Geometry of Riemann Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-16, September.
    • Handle: RePEc:hin:jijmms:210304
    DOI: 10.1155/2009/210304
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2009/210304.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2009/210304.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2009/210304?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:jijmms:210304. 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.