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.