A Generalized Auxiliary Equation Method for the Quadratic Nonlinear KG Equation

机译：二次非线性千克方程的广义辅助方程方法

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摘要

A generalized auxiliary equation method with symbolic computation is used to construct more general exact solutions of the quadratic nonlinear Klein-Gordon (KG) equation. As a result, new and more general solutions are obtained. It is shown that the generalized auxiliary equation method provides a more powerful mathematical tool for solving nonlinear partial differential equations arising in the fields of nonlinear sciences.

机译：具有符号计算的广义辅助等式方法用于构建二次非线性Klein-Gordon（kg）方程的更一般的精确解。结果，获得了新的和更通用的解决方案。结果表明，广义辅助等式方法提供了一种更强大的数学工具，用于求解非线性科学领域中产生的非线性偏微分方程。

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《International Conference on Mechatronics, Applied Mechanics and Energy Engineering》|2014年||共6页
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作者
Sheng Zhang; Bo Xu; Aoxue Peng;
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原文格式 PDF
正文语种
中图分类 TH-532;
关键词
Auxiliary equation method; KG equation; Exact solution;

机译：辅助方程法;kg方程;精确的解决方案;

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专利

1. A generalized auxiliary equation method and its application to nonlinear Klein-Gordon and generalized nonlinear Camassa-Holm equations [J] . Yomba E Physics Letters, A . 2008,第7期

机译：广义辅助方程法及其在非线性Klein-Gordon和广义非线性Camassa-Holm方程中的应用
2. A generalized new auxiliary equation method and its applications to nonlinear partial ifferential equations [J] . Zhang S, Xia TC Physics Letters, A . 2007,第5a6期

机译：广义新辅助方程法及其在非线性偏微分方程中的应用
3. The double auxiliary equations method and its application to space-time fractional nonlinear equations [J] . L.A. Alhakim, A.A. Moussa Journal of Ocean Engineering and Science . 2019,第1期

机译：双重辅助方程法及其在时空分数非线性方程中的应用
4. A Generalized Auxiliary Equation Method for the Quadratic Nonlinear KG Equation [C] . Sheng Zhang, Bo Xu, Aoxue Peng International Conference on Mechatronics, Applied Mechanics and Energy Engineering . 2014

机译：二次非线性千克方程的广义辅助方程方法
5. A new large total variation stability result for the quadratic nonlinear system associated with the compressible Euler equations by eigenvalue methods. [D] . Edens, Thaddeus James. 2003

机译：利用特征值方法求解与可压缩欧拉方程有关的二次非线性系统的新的大的总变化稳定性。
6. On Coupled Rate Equations with Quadratic Nonlinearities [O] . Elliott W. Montroll 1972

机译：具有二次非线性的耦合速率方程
7. The Double Auxiliary Equations Method and its Application to Some Nonlinear Evolution Equations [O] . A. A. Moussa, I. M. E. Abdelstar, A. K. Osman, 2019

机译：双辅助方程方法及其在一些非线性演化方程的应用
8. Quadratic Bundle of General Form and the Nonlinear Evolution Equations. Expansions in the ''Squared'' Solutions-Generalized Fourier Transformations [R] . Gerdjikov, V. S., Ivanov, M. I. 1982

机译：一般形式的二次束与非线性发展方程。 “平方”解决方案 - 广义傅里叶变换的扩展

A Generalized Auxiliary Equation Method for the Quadratic Nonlinear KG Equation

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