Analysis of non-linear Klein-Gordon equations using Lie symmetry

被引：22
|
作者：
Khalique, Chaudry Masood [1 ]
Biswas, Anjan [1 ]
机构：
[1] North West Univ, Int Inst Symmetry Anal & Math Modeling, Dept Math Sci, ZA-2735 Mmabatho, South Africa
来源：
APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 11期
关键词：
Integrability; Lie symmetry;
D O I：
10.1016/j.aml.2010.07.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work obtains the stationary solutions of the non-linear Klein-Gordon equations in 1 + 1 dimensions. The technique that is used to carry out the analysis is the Lie symmetry approach. There are five types of non-linearity that are studied in this work. In each case, the analysis yields non-trivial stationary solutions; it is the first time that this has been seen. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1397 / 1400
页数：4
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