Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms

被引：22
作者：
Yu, Jianping [1 ]
Wang, Deng-Shan [2 ]
Sun, Yongli [3 ]
Wu, Suping [3 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Appl Math, Beijing 100083, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Sch Sci, Beijing 100192, Peoples R China
[3] Beijing Univ Chem Technol, Dept Math, Beijing 100029, Peoples R China
来源：
NONLINEAR DYNAMICS | 2016年 / 85卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Modified method of simplest equation; Zakharov-Kuznetsov equation; Modified Zakharov-Kuznetsov equation; Exact solutions; TRAVELING-WAVE SOLUTIONS; NONLINEAR EVOLUTION-EQUATIONS; PARTIAL-DIFFERENTIAL-EQUATIONS; VARIABLE SEPARATION APPROACH; TIME-DEPENDENT COEFFICIENTS; DE-VRIES EQUATION; SYMBOLIC COMPUTATION; BOUSSINESQ EQUATIONS; 1-SOLITON SOLUTION; KDV EQUATION;
D O I：
10.1007/s11071-016-2837-7
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 the application of a version of the method of simplest equation for obtaining exact traveling wave solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms. The Duffing-type equation is used as simplest auxiliary equation. In the meantime, the proposed method is proved to be a powerful mathematical tool for obtaining exact solutions of nonlinear partial differential equations in mathematical physics.
引用
收藏
页码：2449 / 2465
页数：17
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