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

Dong Zhong-Zhou, Ling Wang

Type: Article

Publication Date: 2018-01-01

Citations: 3

DOI: https://doi.org/10.4236/jamp.2018.65081

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.

Locations

Journal of Applied Mathematics and Physics - View - PDF

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+	Application of the homotopy analysis method to solving nonlinear evolution equations	2006	Shi Yu-Ren Xin‐Jian Xu Zhi-Xi Wu Ying-Hai Wang Yang Hong-Juan Duan Wen-Shan Lü Ke-Pu
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+ PDF Chat	Finding zeroes of maps: homotopy methods that are constructive with probability one	1978	S.N. Chow John Mallet‐Paret James A. Yorke
+	A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method	2007	Mohammad Masoud Javidi A. Golbabai
+	An approximate solution technique not depending on small parameters: A special example	1995	Shijun Liao
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+	Homotopy method for generalized eigenvalue problems Ax= ΛBx	1987	T.Y. Li Timothy Sauer
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+	Travelling wave solutions of nonlinear evolution equations by using the first integral method	2008	Filiz Taşcan Ahmet Bekir Murat Koparan
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