Symmetry reduction and exact solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation

被引：0

作者：

董仲周 ^{[1
]}

陈勇 ^{[1
]}

郎艳怀 ^{[2
]}

机构：

[1] Shanghai Key Laboratory of Trustworthy Computing,East China Normal University

[2] Department of Mathematics,Shanghai University of Finance and Economics

来源：

Chinese Physics B | 2010年 / 19卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Zakharov-Kuznetsov equation; classical Lie method; explicit solution;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法]; O175 [微分方程、积分方程];

学科分类号：

0701 ; 070104 ;

摘要：

By means of the classical method, we investigate the (3+1)-dimensional Zakharov-Kuznetsov equation. The symmetry group of the (3+1)-dimensional Zakharov-Kuznetsov equation is studied first and the theorem of group invariant solutions is constructed. Then using the associated vector fields of the obtained symmetry, we give the one-, two-, and three-parameter optimal systems of group-invariant solutions. Based on the optimal system, we derive the reductions and some new solutions of the (3+1)-dimensional Zakharov-Kuznetsov equation.

引用

页码：75 / 81

页数：7

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