Scientific Research and Essays

  • Abbreviation: Sci. Res. Essays
  • Language: English
  • ISSN: 1992-2248
  • DOI: 10.5897/SRE
  • Start Year: 2006
  • Published Articles: 2748

Full Length Research Paper

Homotopy analysis method for Zakharov-Kuznetsov (ZK) equation with fully nonlinear dispersion

    Muhammad Usman, Irfan Rashid, Tamour Zubair, Asif Waheed and Syed Tauseef Mohyud-Din*
Department of Mathematics, HITEC University, Taxila Cantt Pakistan.
Email: [email protected]

  •  Accepted: 03 June 2013
  •  Published: 30 June 2013

Abstract

 

 

In this paper, we apply Homotopy Analysis Method (MHAM) to find appropriate solutions of Zakharov-Kuznetsov (ZK) equations. Numerical results coupled with graphical representation explicitly reveal the complete reliability of the proposed algorithm.

Key words: Homotopy analysis method, Zakharov-Kuznetsov (ZK) equation, exact solutions, MAPLE.