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Application of the homotopy perturbation method to Zakharov-Kuznetsov equations. (English) Zbl 1189.65244
Summary: The aim of this paper is to apply the homotopy perturbation method (HPM) to solve the Zakharov-Kuznetsov $ZK\left(m,n,k\right)$ equations. The two special cases, $ZK\left(2,2,2\right)$ and $ZK\left(3,3,3\right)$, are chosen to show the ability of the method. General formulas for the solutions of $ZK\left(m,n,k\right)$ are established. The results reveal that the method is very effective and simple.
##### MSC:
 65M99 Numerical methods for IVP of PDE
##### References:
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