Lie Symmetry Analysis and Exact Solutions of Generalized Fractional Zakharov-Kuznetsov Equations

被引：23

作者：

Li, Changzhao ^{[1
,2
]}

Zhang, Juan ^{[3
]}

机构：

[1] Kunming Univ Sci & Technol, Fac Civil Engn & Mech, Kunming 650500, Yunnan, Peoples R China

[2] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650500, Yunnan, Peoples R China

[3] Kunming Univ Sci & Technol, Oxbridge Coll, Kunming 650106, Yunnan, Peoples R China

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 05期

基金：

中国国家自然科学基金;

关键词：

lie symmetry analysis; fractional Zakharov-Kuznetsov equation; symmetry groups; exact solutions; CONSERVATION-LAWS; DIFFERENTIAL-EQUATIONS; ZK EQUATION; SOLITONS; WAVES;

D O I：

10.3390/sym11050601

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper considers the Lie symmetry analysis of a class of fractional Zakharov-Kuznetsov equations. We systematically show the procedure to obtain the Lie point symmetries for the equation. Accordingly, we study the vector fields of this equation. Meantime, the symmetry reductions of this equation are performed. Finally, by employing the obtained symmetry properties, we can get some new exact solutions to this fractional Zakharov-Kuznetsov equation.

引用

页数：12