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Closed form Solutions of New Fifth Order Nonlinear Equation and New Generalized Fifth Order Nonlinear Equation via the Enhanced (G’/G)-expansion Method

Author

Listed:
  • A K M Kazi Sazzad Hossain

    (Department of Mathematics, Begum Rokeya University, Bangladesh)

  • Md. Ali Akbar

    (Department of Applied Mathematics, University of Rajshahi, Bangladesh)

Abstract

Closed form solutions of nonlinear evolution equations (NLEEs) are very imperative in order to better understand the inner mechanism and complexity of complex physical phenomena. The enhanced (/)GGexpansion′− method is a effectual and proficient mathematical tool which can be used to discover the closed form solutions of NLEEs arising in mathematical physics, applied mathematics and engineering. In this article, the enhanced (/)GGexpansion′− method is recommended and carry out to investigate the closed form solutions of the new fifth order non-linear equation and the new generalized fifth order non-linear equation. The performance of this method is reliable, proficient and possible to obtain a lot of new exact solutions than the existing other methods.

Suggested Citation

  • A K M Kazi Sazzad Hossain & Md. Ali Akbar, 2017. "Closed form Solutions of New Fifth Order Nonlinear Equation and New Generalized Fifth Order Nonlinear Equation via the Enhanced (G’/G)-expansion Method," Biostatistics and Biometrics Open Access Journal, Juniper Publishers Inc., vol. 4(2), pages 19-25, December.
    • Handle: RePEc:adp:jbboaj:v:4:y:2017:i:2:p:19-25
    DOI: 10.19080/BBOAJ.2017.04.555631
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    References listed on IDEAS

    as
    1. Chen, Yong & Wang, Qi, 2005. "Extended Jacobi elliptic function rational expansion method and abundant families of Jacobi elliptic function solutions to (1+1)-dimensional dispersive long wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 24(3), pages 745-757.
    2. Yusufoğlu, Elcin & Bekir, Ahmet, 2008. "Exact solutions of coupled nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 842-848.
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