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

作　　者：Zhongzhou Dong Ling Wang 

机构地区：[1]School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China [2]Academic Administration, Henan Polytechnic University, Jiaozuo, China

出　　处：《Journal of Applied Mathematics and Physics》2018年第5期949-959,共11页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：MODIFIED Zakharov-Kuznetsov Equation HOMOTOPY Perturbation Method SOLITON Solution 

分 类 号：O1[理学—数学]