IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2012y2012i1n597983.html

Extended Mapping Method and Its Applications to Nonlinear Evolution Equations

Author

Listed:
  • J. F. Alzaidy

Abstract

We use extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics, and we obtain some new periodic wave solution for the Boussinesq system and the coupled KdV equations. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.

Suggested Citation

  • J. F. Alzaidy, 2012. "Extended Mapping Method and Its Applications to Nonlinear Evolution Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:597983
    DOI: 10.1155/2012/597983
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2012/597983
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/597983?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
    ---><---

    References listed on IDEAS

    as
    1. Yong Chen & Zheng Yu, 2003. "Generalized Extended Tanh-Function Method To Construct New Explicit Exact Solutions For The Approximate Equations For Long Water Waves," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 601-611.
    2. Zhenya Yan, 2003. "A REDUCTIONmKdVMETHOD WITH SYMBOLIC COMPUTATION TO CONSTRUCT NEW DOUBLY-PERIODIC SOLUTIONS FOR NONLINEAR WAVE EQUATIONS," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 661-672.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Hasibun Naher & Farah Aini Abdullah, 2012. "New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2 + 1)‐Dimensional Evolution Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Khaled A. Gepreel, 2013. "Improved General Mapping Deformation Method for Nonlinear Partial Differential Equations in Mathematical Physics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Isaiah Elvis Mhlanga & Chaudry Masood Khalique, 2014. "Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein‐Gordon‐Zakharov Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Isaiah Elvis Mhlanga & Chaudry Masood Khalique, 2012. "Exact Solutions of Generalized Boussinesq‐Burgers Equations and (2+1)‐Dimensional Davey‐Stewartson Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).

    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:wly:jnljam:v:2012:y:2012:i:1:n:597983. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.