Analytical Approach to Fractional Zakharov–Kuznetsov Equations by He's Homotopy Perturbation Method
Articles > Article · 2010
Authors: Ahmet YILDIRIM, Yagmur GULKANAT
Communications in Theoretical Physics, Journal Indexed in SCI Expanded, International, WoS, 2010, vol 53, pp 1005-1010
DOI: 10.1088/0253-6102/53/6/02
Summary
The aim of this paper is to obtain the approximate analytical solution of a fractional Zakharov–Kuznetsov equation by using homotopy perturbation method (HPM). The fractional derivatives are described in the Caputo sense. Several examples are given and the results are compared to exact solutions. The results reveal that the method is very effective and simple.