Author(s)

Zhongzhou Dong^1*, Ling Wang²

¹School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China.
²Academic Administration, Henan Polytechnic University, Jiaozuo, China.

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.

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

Dong, Z. and Wang, L. (2018) Solitary Wave Solutions and Rational Solutions for Modified Zakharov-Kuznetsov Equation with Initial Value Problem. Journal of Applied Mathematics and Physics, 6, 949-959. doi: 10.4236/jamp.2018.65081.