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

Yu Jianping; Wang Deng-Shan; Sun Yongli; Wu Suping

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

机译：用于获得Zakharov-Kuznetsov方程，精确的Zakharov-Kuznetsov方程的精确解的最简单方程的修改方法

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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.

机译：在本文中，我们研究一种最简单方程方法的版本在获得Zakharov-Kuznetsov方程，修正的Zakharov-Kuznetsov方程及其广义形式的精确行波解中的应用。 Duffing型方程式被用作最简单的辅助方程式。同时，该方法被证明是获得数学物理学中非线性偏微分方程精确解的强大数学工具。

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来源
《Nonlinear dynamics》 |2016年第4期|共17页
作者
Yu Jianping; Wang Deng-Shan; Sun Yongli; Wu Suping;
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正文语种 eng
中图分类动力学;
关键词
Modified method of simplest equation; Zakharov-Kuznetsov equation; Modified Zakharov-Kuznetsov equation; Exact solutions;

机译：最简单方程的修正方法;Zakharov-Kuznetsov方程;Zakharov-Kuznetsov方程;精确解;

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1. Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms [J] . Yu Jianping, Wang Deng-Shan, Sun Yongli, Nonlinear dynamics . 2016,第4期

机译：用于获得Zakharov-Kuznetsov方程，精确的Zakharov-Kuznetsov方程的精确解的最简单方程的修改方法
2. New Exact Solutions of Fractional Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations Using Fractional Sub-Equation Method [J] . S.Saha Ray, S.Sahoo 理论物理通讯（英文版） . 2015,第001期

机译：使用分数次方程法的分数阶Zakharov-Kuznetsov新精确解和修正的Zakharov-Kuznetsov方程
3. Exact Solutions to (3+1) Conformable Time Fractional Jimbo-Miwa, Zakharov-Kuznetsov and Modified Zakharov-Kuznetsov Equations [J] . Korkmaz Alper Communications in Theoretical Physics . 2017,第5期

机译：（3 + 1）适当的蒂姆·普什米什·米沙，Zakharov-Kuznetsov和Modyfied Zakharov-Kuznetsov Ektions
4. Exact Solutions for The Generalized Zakharov-Kuznetsov Equation with Variable Coefficients Using The Generalized (G/G) -expansion Method [C] . Elsayed M. E. Zayed, Mahmoud A.M. Abdelaziz International Conference on Numerical Analysis and Applied Mathematics . 2010

机译：使用广义（G / G）-Expansion方法，具有可变系数的广义Zakharov-kuznetsov方程的精确解决方案
5. Initial and boundary value problems for the deterministic and stochastic Zakharov-Kuznetsov equation in a bounded domain. [D] . Wang, Chuntian. 2015

机译：有界域中确定性和随机Zakharov-Kuznetsov方程的初值和边值问题。
6. Water Wave Solutions of the Coupled System Zakharov-Kuznetsov and Generalized Coupled KdV Equations [O] . A. R. Seadawy, K. El-Rashidy -1

机译：耦合系统Zakharov-Kuznetsov的水波解和广义耦合KdV方程
7. On Modified Method of Simplest Equation for Obtaining Exact Solutions of Nonlinear PDEs: Case of Elliptic Simplest Equation [O] . K. Vitanov Nikolay 2012

机译：获得非线性PDE精确解的最简单方程的修正方法：椭圆最简单方程的情况

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

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