In this paper, the variational homotopy perturbation method (VHPM) and its convergence is adopted for the Zakharove-Kuznetsov equations (ZK-equations). The aim of this paper is to present an efficient and reliable treatment of the VHPM for the nonlinear partial differential equations and show that this method is convergent. The convergence of the applied method is approved using the method of majorants from Cauchy-Kowalevskaya theorem of differential equations with analytical vector field.
Matinfar, M., Ghasemi, M., & Saeidy, M. (2014). On the convergence of the VHPM for the Zakharove-Kuznetsov equations. Iranian Journal of Science, 36(Issue 3.1), 351-358. doi: 10.22099/ijsts.2014.2086
MLA
M. Matinfar; M. Ghasemi; M. Saeidy. "On the convergence of the VHPM for the Zakharove-Kuznetsov equations", Iranian Journal of Science, 36, Issue 3.1, 2014, 351-358. doi: 10.22099/ijsts.2014.2086
HARVARD
Matinfar, M., Ghasemi, M., Saeidy, M. (2014). 'On the convergence of the VHPM for the Zakharove-Kuznetsov equations', Iranian Journal of Science, 36(Issue 3.1), pp. 351-358. doi: 10.22099/ijsts.2014.2086
VANCOUVER
Matinfar, M., Ghasemi, M., Saeidy, M. On the convergence of the VHPM for the Zakharove-Kuznetsov equations. Iranian Journal of Science, 2014; 36(Issue 3.1): 351-358. doi: 10.22099/ijsts.2014.2086
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