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Shi, Y.R., Xu, X.J., Wu, Z.X., Wang, Y.H., Yang, H.J., Duan, W.S. and Lv, K.P. (2006) Application of the Homotopy Analysis Method to Solving Nonlinear Evolution Equations. Acta Physica Sinica, 55, 1555-1560.

has been cited by the following article:

• TITLE: Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem

  AUTHORS: Zhongzhou Dong, Ling Wang

  KEYWORDS: Modified Zakharov-Kuznetsov Equation, Homotopy Perturbation Method, Soliton Solution

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.5, May 15, 2018

  ABSTRACT: The modified Zakharov-Kuznetsov equation with the initial value problem is studied numerically by means of homotopy perturbation method. The analytical approximate solutions of the modified Zakharov-Kuznetsov equation are obtained. Choosing the form of the initial value, the single solitary wave, two solitary waves and rational solutions are presented, some of which are shown by the plots.