Symmetry analysis and conservation laws of some third-order difference equations

被引：4

作者：

Folly-Gbetoula, M. K. ^{[1
]}

Mamba, S. ^{[1
]}

Kara, A. H. ^{[1
,2
]}

机构：

[1] Univ Witwatersrand, Sch Math, Johannesburg, South Africa

[2] Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2018年 / 24卷 / 01期

关键词：

Difference equation; symmetry; reduction; group invariant solutions;

D O I：

10.1080/10236198.2017.1382486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We adopt a procedure for determining the continuous (Lie) symmetries for third-order difference equations and utilize these to reduce the order of the equations - this reduction leads to some solutions of the equations under investigation. We further investigate the existence of first integrals of the third order equations using a, now, established, procedure.

引用

页码：1 / 14

页数：14

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