文章基本信息

标题：Canonical Forms and Their Integrability for Systems of Three 2nd-Order ODEs
本地全文：下载
作者：S. Zahida ; M. N. Qureshi ; Muhammad Ayub 等
期刊名称：Advances in Mathematical Physics
印刷版ISSN：1687-9120
电子版ISSN：1687-9139
出版年度：2017
卷号：2017
DOI：10.1155/2017/2580968
出版社：Hindawi Publishing Corporation
摘要：Differential invariants and their corresponding canonical forms for systems of three 2nd-order ODEs possessing three-dimensional Lie algebras are constructed. Their extension up to th-order system of three 2nd-order ODEs is presented. Furthermore singularity in invariant structure for the canonical forms is investigated. In addition integrability of these canonical forms is discussed. Illustrative physical examples from mechanics of system of particles are provided.