Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

The Study of Systems of Ordinary Differential Equations Admitting Six-dimensional Algebras of Operators

Author(s):

Aliya A. Gainetdinova

junior researcher
Research laboratory
"Group analysis of mathematical models in natural and engineering sciences"
Ufa State Aviation Technical University
K. Marx str. 12,
450008, Ufa, Republic of Bashkortostan, Russia

aliya-oct@yandex.ru

Abstract:

The algorithm for integrating systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras is generalized to sixth-order systems admitting six-dimensional Lie algebras of operators. The algorithm is based on the invariant representation of systems and the application of the invariant differentiation operator.

Keywords

• invariant differentiation operator
• invariant representation of systems
• six-dimensional Lie algebras of operators
• systems of ODEs

References:

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