Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 58, Issue 11-12, Pages 2391-2394Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2009.03.102
Keywords
Zakharov-Kuznetsov equations; Homotopy perturbation method
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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. (C) 2009 Elsevier Ltd. All rights reserved.
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