Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

Authors

  • Muhammad USMAN Department of Mathematics, HITEC University, Taxila Cantt
  • Tamour ZUBAIR Department of Mathematics, HITEC University, Taxila Cantt
  • Irfan RASHID Department of Mathematics, HITEC University, Taxila Cantt
  • Imran RASHID Department of Mathematics, HITEC University, Taxila Cantt
  • Ahmet YILDIRIM Department of Mathematics and Statistics, University of South Florida, Tampa
  • Syed Tauseef MOHYUD-DIN Department of Mathematics, HITEC University, Taxila Cantt

Keywords:

Homotopy analysis method, Taylor’s series, exact solutions, MAPLE, Zakharov-Kuznetsov equations

Abstract

In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences. The proposed modification is an elegant coupling of the Homotopy Analysis Method (HAM) and Taylor’s series. Numerical results, coupled with graphical representation, explicitly reveal the complete reliability of the proposed algorithm.

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Author Biography

Syed Tauseef MOHYUD-DIN, Department of Mathematics, HITEC University, Taxila Cantt

Department of Mathematics, HITEC University

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Published

2013-07-08

How to Cite

USMAN, M., ZUBAIR, T., RASHID, I., RASHID, I., YILDIRIM, A., & MOHYUD-DIN, S. T. (2013). Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations. Walailak Journal of Science and Technology (WJST), 10(5), 467–478. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/340

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