Canonical Forms and Their Integrability for Systems of Three 2nd-Order ODEs

S. Zahida, M. N. Qureshi and Muhammad Ayub

Advances in Mathematical Physics, 2017, vol. 2017, 1-12

Abstract:

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:2580968

DOI: 10.1155/2017/2580968

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