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.
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页码：266 / 275
页数：10
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