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    The generalized riccati equation together with the (G' / G) -Expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation

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    Date
    2014
    Publisher
    © 2014 Politechnica University of Bucharest
    Author
    Naher, Hasibun
    Abdullah, Farah Aini
    Rashid, Abdur
    Metadata
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    URI
    http://hdl.handle.net/10361/6861
    Citation
    Naher, H., Abdullah, F. A., & Rashid, A. (2014). The generalized riccati equation together with the (G' / G) -expansion method for the (3+1)-dimensional modified KDV-zakharov-kuznetsov equation. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 76(3), 77-90.
    Abstract
    We construct new exact travelling wave solutions including solitons and periodic solutions of the (3+1)-dimensional modified KdV Zakharov-Kuznetsov equation involving parameter by applying the generalized Riccati equation together with the (G' /G) -expansion method. In addition, in this method, G' = n + lG + mG2 is used, as the auxiliary equation, called the generalized Riccati equation, where l, m and n are arbitrary constants. Further, the solutions are expressed in terms of the hyperbolic function, the trigonometric function and the rational functional form. Moreover, some of obtained traveling wave solutions are presented in the figures with the aid of commercial software Maple.
    Keywords
    Exact traveling wave solutions; Nonlinear evolution equations; The (G' /G) -expansion method; The generalized Riccati equation
     
    Description
    This article was published in the UPB Scientific Bulletin, Series A: Applied Mathematics and Physics [© 2014 Politechnica University of Bucharest ] The Journal's website is at: http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full78d_557338.pdf
    Publisher Link
    http://www.scientificbulletin.upb.ro/rev_docs_arhiva/full78d_557338.pdf
    Department
    Department of Mathematics and Natural Sciences, BRAC University
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