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    Further extension of the generalized and improved (G′/G)-expansion method for nonlinear evolution equation

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    Date
    2016
    Publisher
    © 2016 Elsevier B.V
    Author
    Naher, Hasibun
    Abdullah, Farah Aini
    Metadata
    Show full item record
    URI
    http://hdl.handle.net/10361/6853
    Citation
    Naher, H., & Abdullah, F. A. (2016). Further extension of the generalized and improved (G'/G)-expansion method for nonlinear evolution equation. Journal of the Association of Arab Universities for Basic and Applied Sciences, 19, 52-58. doi:10.1016/j.jaubas.2014.05.005
    Abstract
    n this article, the generalized and improved (G'/G)-expansion method has been proposed for further extension to generate many new travelling wave solutions. In addition, nonlinear ordinary differential equation is implemented as auxiliary equation including many parameters instead of linear ordinary differential equation. Moreover, the presentation of the travelling wave solutions is quiet new. The effectiveness and reliability of the method are shown by its application to the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation. Some of our generated solutions turned into some known solutions, when parameters consider specific values and others are new.
    Keywords
    Further extension of the generalized and improved (G'/G)-expansion method; Nonlinear ordinary differential equation; Travelling wave solutions; ZKBBM equation
     
    Description
    This article was published in the Journal of the Association of Arab Universities for Basic and Applied Sciences [© 2016 Published by Elsevier Inc.] and the definite version is available at: http://dx.doi.org/10.1016/j.jaubas.2014.05.005 The Journal's website is at: http://www.sciencedirect.com/science/article/pii/S1815385214000297
    Publisher Link
    http://www.sciencedirect.com/science/article/pii/S1815385214000297
    DOI
    http://dx.doi.org/10.1016/j.jaubas.2014.05.005
    Department
    Department of Mathematics and Natural Sciences, BRAC University
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