Approximate symmetry and exact solutions of the perturbed nonlinear Klein-Gordon equation

被引：0

作者：

Rahimian, Mohammad ^{[1
]}

Nadjafikhah, Mehdi ^{[2
]}

机构：

[1] Islamic Azad Univ, Dept Math, Masjed Soleiman Branch, Masjed Soleiman, Iran

[2] Iran Univ Sci & Technol, Sch Math, Dept Pure Math, Tehran 1684613114, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2019年 / 7卷 / 02期

关键词：

Perturbed Klein-Gordon equation; Exact solutions; Approximate symmetry; Approximate invariant solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Lie approximate symmetry analysis is applied to investigate new exact solutions of the perturbed nonlinear Klein-Gordon equation. The nonlinear Klein-Gordon equation is used to model many nonlinear phenomena. The tanh-coth method, is employed to solve some of the obtained reduced ordinary differential equations. We construct new analytical solutions with small parameter which is effectively obtained by the proposed method.

引用

页码：266 / 275

页数：10

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