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Zbl 1189.65244
Biazar, J.; Badpeima, F.; Azimi, F.
Application of the homotopy perturbation method to Zakharov-Kuznetsov equations. (English)
[J] Comput. Math. Appl. 58, No. 11-12, 2391-2394 (2009). ISSN 0898-1221

Summary: The aim of this paper is to apply the homotopy perturbation method (HPM) to solve the Zakharov-Kuznetsov $ZK(m,n,k)$ equations. The two special cases, $ZK(2, 2, 2)$ and $ZK(3, 3, 3)$, are chosen to show the ability of the method. General formulas for the solutions of $ZK(m,n,k)$ are established. The results reveal that the method is very effective and simple.

MSC 2000:: *65M99 Numerical methods for IVP of PDE

Keywords: Zakharov-Kuznetsov equations; homotopy perturbation method

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