IDEAS home Printed from https://ideas.repec.org/a/adp/jbboaj/v4y2017i2p19-25.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://juniperpublishers.com/bboaj/pdf/BBOAJ.MS.ID.555631.pdf
    Download Restriction: no
    File URL: https://juniperpublishers.com/bboaj/BBOAJ.MS.ID.555631.php
    Download Restriction: no
    File URL: https://libkey.io/10.19080/BBOAJ.2017.04.555631?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. 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.
    Full references (including those not matched with items on IDEAS)

    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. Chanidaporn Pleumpreedaporn & Elvin J. Moore & Sekson Sirisubtawee & Nattawut Khansai & Songkran Pleumpreedaporn, 2024. "Exact Solutions for the Sharma–Tasso–Olver Equation via the Sardar Subequation Method with a Comparison between Atangana Space–Time Beta-Derivatives and Classical Derivatives," Mathematics, MDPI, vol. 12(14), pages 1-15, July.
    2. M. Ali Akbar & Md. Nur Alam & Md. Golam Hafez, 2016. "Application of the novel (G′/G)-expansion method to construct traveling wave solutions to the positive Gardner-KP equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(1), pages 85-96, March.
    3. Lingxiao Li & Mingliang Wang & Jinliang Zhang, 2022. "Application of Generalized Logistic Function to Travelling Wave Solutions for a Class of Nonlinear Evolution Equations," Mathematics, MDPI, vol. 10(21), pages 1-13, October.
    4. Hamood Ur Rehman & Ifrah Iqbal & Suhad Subhi Aiadi & Nabil Mlaiki & Muhammad Shoaib Saleem, 2022. "Soliton Solutions of Klein–Fock–Gordon Equation Using Sardar Subequation Method," Mathematics, MDPI, vol. 10(18), pages 1-10, September.
    5. Khaled A. Gepreel, 2020. "Analytical Methods for Nonlinear Evolution Equations in Mathematical Physics," Mathematics, MDPI, vol. 8(12), pages 1-14, December.
    6. Yusufoğlu, E. & Bekir, A., 2008. "The tanh and the sine–cosine methods for exact solutions of the MBBM and the Vakhnenko equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1126-1133.
    7. Bekir, Ahmet & Cevikel, Adem C., 2009. "New exact travelling wave solutions of nonlinear physical models," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1733-1739.
    8. Lv, Xiumei & Lai, Shaoyong & Wu, YongHong, 2009. "An auxiliary equation technique and exact solutions for a nonlinear Klein–Gordon equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 82-90.
    9. Bekir, Ahmet, 2009. "The tanh–coth method combined with the Riccati equation for solving non-linear equation," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1467-1474.

    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:adp:jbboaj:v:4:y:2017:i:2:p:19-25. 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: Robert Thomas (email available below). General contact details of provider: .

    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.