IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/531823.html
   My bibliography  Save this article

Solution of ( ð Ÿ‘ + ð Ÿ )-Dimensional Nonlinear Cubic Schrodinger Equation by Differential Transform Method

Author

Listed:
  • Hassan A. Zedan
  • M. Ali Alghamdi

Abstract

Four-dimensional differential transform method has been introduced and fundamental theorems have been defined for the first time. Moreover, as an application of four-dimensional differential transform, exact solutions of nonlinear system of partial differential equations have been investigated. The results of the present method are compared very well with analytical solution of the system. Differential transform method can easily be applied to linear or nonlinear problems and reduces the size of computational work. With this method, exact solutions may be obtained without any need of cumbersome work, and it is a useful tool for analytical and numerical solutions.

Suggested Citation

  • Hassan A. Zedan & M. Ali Alghamdi, 2012. "Solution of ( ð Ÿ‘ + ð Ÿ )-Dimensional Nonlinear Cubic Schrodinger Equation by Differential Transform Method," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, April.
    • Handle: RePEc:hin:jnlmpe:531823
    DOI: 10.1155/2012/531823
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2012/531823.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2012/531823.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/531823?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:jnlmpe:531823. 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.