Springer Iranian Journal of Science and Technology (Sciences) 1028-6276 36 Issue 3.1 2014 09 01 On the convergence of the VHPM for the Zakharove-Kuznetsov equations 351 358 2086 10.22099/ijsts.2014.2086 EN M. Matinfar Department of Mathematics, Faculty of Sciences, Mazandaran University, P.O. Box 47415-95447, Babolsar, Iran M. Ghasemi Department of Mathematics, Faculty of Sciences, Mazandaran University, P.O. Box 47415-95447, Babolsar, Iran M. Saeidy Department of Mathematics, Faculty of Sciences, Mazandaran University, P.O. Box 47415-95447, Babolsar, Iran Journal Article 2011 11 05 In this paper, the variational homotopy perturbation method (VHPM) and its convergence is adopted for the<br />Zakharove-Kuznetsov equations (ZK-equations). The aim of this paper is to present an efficient and reliable<br />treatment of the VHPM for the nonlinear partial differential equations and show that this method is convergent.<br />The convergence of the applied method is approved using the method of majorants from Cauchy-Kowalevskaya<br />theorem of differential equations with analytical vector field. https://ijsts.shirazu.ac.ir/article_2086_2ebee92b345b584f60258c34168703dc.pdf