On the complete group classification of the one-dimensional nonlinear Klein-Gordon equation with a delay

被引：25
|
作者：
Long, Feng-Shan [1 ,2 ]
Meleshko, S. V. [1 ]
机构：
[1] Suranaree Univ Technol, Inst Sci, Sch Math, Nakhon Ratchasima 30000, Thailand
[2] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 12期
关键词：
Klein-Gordon equation; delay partial differential equation; Lie group; invariant solution; REACTION-DIFFUSION EQUATIONS; FUNCTIONAL SEPARABLE SOLUTIONS; CONSTRAINTS METHOD;
D O I：
10.1002/mma.3769
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This research gives a complete Lie group classification of the one-dimensional nonlinear delay Klein-Gordon equation. First, the determining equations are derived and their complete solutions are found. Then the complete group classification and representations of all invariant solutions are obtained. Copyright (c) 2015 John Wiley & Sons, Ltd.
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页码：3255 / 3270
页数：16
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