• Login
    • Library Home
    View Item 
    •   BracU IR
    • BracU Faculty Publications
    • Hasibun Naher
    • Article
    • View Item
    •   BracU IR
    • BracU Faculty Publications
    • Hasibun Naher
    • Article
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Extended generalized Riccati equation mapping method for the fifth-order Sawada-Kotera equation

    Thumbnail
    Date
    2013
    Publisher
    © 2013 AIP Advances
    Author
    Naher, Hasibun
    Abdullah, Farah Aini
    Mohyud-Din, Syed Tauseef
    Metadata
    Show full item record
    URI
    http://hdl.handle.net/10361/6868
    Citation
    Naher, H., Abdullah, F. A., & Mohyud-Din, S. T. (2013). Extended generalized riccati equation mapping method for the fifth-order sawada-kotera equation. AIP Advances, 3(5) doi:10.1063/1.4804433
    Abstract
    In this article, the generalized Riccati equation mapping together with the basic (G′/G)-expansion method is implemented which is advance mathematical tool to investigate nonlinear partial differential equations. Moreover, the auxiliary equation G′(φ) = h + f G(φ) + g G 2(φ) is used with arbitrary constant coefficients and called the generalized Riccati equation. By applying this method, we have constructed abundant traveling wave solutions in a uniform way for the Sawada-Kotera equation. The obtained solutions of this equation have vital and noteworthy explanations for some practical physical phenomena.
    Keywords
    Arbitrary constants; Auxiliary equations; Expansion methods; Generalized riccati equations; Mathematical tools; Nonlinear partial differential equations; Physical phenomena; Traveling wave solution
     
    Description
    This article was published in the AIP Advances [© 1998 ] and the definite version is available at : http://dx.doi.org/10.1063/1.4804433 The Journal's website is at: http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433
    Publisher Link
    http://scitation.aip.org/content/aip/journal/adva/3/5/10.1063/1.4804433
    DOI
    http://dx.doi.org/10.1063/1.4804433
    Department
    Department of Mathematics and Natural Sciences, BRAC University
    Collections
    • Article
    • Faculty Publications

    Related items

    Showing items related by title, author, creator and subject.

    • Thumbnail

      Travelling wave and non-travelling wave solutions of nonlinear evolution equation via new generalized and Improved (G'/G) - expansion method 

      Khan, Anika Tahsin (BRAC Univeristy, 2018-03-01)
      In this thesis, we have applied the new extension of the generalized and improved ( G' / G) - expansion method in order to find the explicit solutions of non-travelling and travelling wave solutions of Fisher equation. ...
    • Thumbnail

      The modified benjamin-bona-mahony equation via the extended generalized riccati equation mapping method 

      Naher, Hasibun; Abdullah, Farah Aini (© 2012 Applied Mathematical Science, 2012)
      The generalized Riccati equation mapping is extended together with the (G'/G) -expansion method and is a powerful mathematical tool for solving nonlinear partial differential equations. In this article, we construct twenty ...
    • Thumbnail

      The exp-function method for new exact solutions of the nonlinear partial differential equations 

      Naher, Hasibun; Abdullah, Farah Aini; Akbar, M. Ali (© 2011 International Journal of Physical Sciences, 2011)
      In this article, the exp-function method is used to construct some new exact solitary wave solutions of the sixth-order Boussinesq equation and the regularized long wave equations. These equations play very important role ...

    Copyright © 2008-2019 Ayesha Abed Library, Brac University 
    Contact Us | Send Feedback
     

     

    Policy Guidelines

    • BracU Policy
    • Publisher Policy

    Browse

    All of BracU Institutional RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    View Usage Statistics

    Copyright © 2008-2019 Ayesha Abed Library, Brac University 
    Contact Us | Send Feedback