THREE-DIMENSIONAL DYNAMICAL SYSTEMS WITH FOUR-DIMENSIONAL VESSIOT-GULDBERG-LIE ALGEBRAS

DOI10.11948/2017055zbMath1474.34253OpenAlexW2618988324MaRDI QIDQ5149638

Aliya A. Gainetdinova, Nail H. Ibragimov

Publication date: 11 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2017055

zbMATH Keywords

time-dependent dynamical systemnonlinear superposition of solutionsstandard forms of \(L_4\)Vessiot-Guldberg-Lie algebra \(L_4\)

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Applications of Lie algebras and superalgebras to integrable systems (17B80) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Quasi-Lie schemes for PDEs

Cites Work

• Three-dimensional dynamical systems admitting nonlinear superposition with three-dimensional Vessiot-Guldberg-Lie algebras
• Canonical forms for systems of two second-order ordinary differential equations
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