Integrability of systems of two second-order ordinary differential equations admitting four-dimensional Lie algebras

DOI10.1098/rspa.2016.0461zbMath1404.34038OpenAlexW2577046192WikidataQ50976065 ScholiaQ50976065MaRDI QIDQ4646839

Aliya A. Gainetdinova, Rafail Kav'evich Gazizov

Publication date: 28 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0461

zbMATH Keywords

differential invariantsoperator of invariant differentiationfour-dimensional Lie algebras of operatorssystems of two second-order ordinary differential equations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items

Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis, Integrating of systems of two second-order ordinary differential equations with a small parameter that admit four essential operators, Invariant solutions of the two-dimensional heat equation, Operator of invariant differentiation and its application for integrating systems of ordinary differential equations, Unnamed Item, Integration of systems of ordinary differential equations with a small parameter which admit approximate Lie algebras

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Cites Work

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