Solutions and conservation laws of a (3+1)-dimensional Zakharov-Kuznetsov equation

被引：13

作者：

Moleleki, L. D. ^{[1
]}

Muatjetjeja, B. ^{[1
]}

Adem, A. R. ^{[1
]}

机构：

[1] North West Univ, Dept Math Sci, Mat Sci Innovat & Modelling Focus Area, Mafikeng Campus,Private Bag 10 2046, ZA-2735 Mmabatho, South Africa

来源：

NONLINEAR DYNAMICS | 2017年 / 87卷 / 04期

关键词：

(3+1)-dimensional Zakharov-Kuznetsov equation; Kudryashov method; Jacobi elliptic function method; Conservation laws; PERIODIC-SOLUTIONS; SOLITON-SOLUTIONS;

D O I：

10.1007/s11071-016-3182-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, we study a nonlinear evolution partial differential equation, namely the (3+1)-dimensional Zakharov-Kuznetsov equation. Kudryashov method together with Jacobi elliptic function method is used to obtain the exact solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation. Furthermore, the conservation laws of the (3+1)-dimensional Zakharov-Kuznetsov equation are obtained by using the multiplier method.

引用

页码：2187 / 2192

页数：6

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