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

Muhammad Usman; Irfan Rashid; Tamour Zubair; Asif Waheed; Syed Tauseef Mohyud-Din

doi:10.5897/SRE12.288

Scientific Research and Essays

Abbreviation: Sci. Res. Essays
Language: English
ISSN: 1992-2248
DOI: 10.5897/SRE
Start Year: 2006
Published Articles: 2768

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]

Article Number - 02EBCE030921
Vol.7(23), pp. 1065-1072 , June 2013
https://doi.org/10.5897/SRE12.288

Accepted: 03 June 2013
Published: 30 June 2013

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

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.

This article is published under the terms of the Creative Commons Attribution License 4.0

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