Operator of invariant differentiation and its application for integrating systems of ordinary differential equations

DOI10.13108/2017-9-4-12zbMath1463.34152OpenAlexW2780603429MaRDI QIDQ5136724

Rafail Kav'evich Gazizov, Aliya A. Gainetdinova

Publication date: 27 November 2020

Published in: Ufimskii Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/ufa401

zbMATH Keywords

ordinary differential equationsdifferential invariantsoperator of invariant differentiationLie algebras of operators

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Lie algebras of vector fields and related (super) algebras (17B66) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Integrating of systems of two second-order ordinary differential equations with a small parameter that admit four essential operators ⋮ The structure of differential invariants for a free symmetry group action ⋮ Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras

Cites Work

• Differential invariants and operators of invariant differentiation of the projectable action of Lie groups
• Symmetry and integration methods for differential equations
• Symmetries of second-order systems of ODEs and integrability
• Integrability of systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras
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