A point symmetry based method for transforming ODEs with three-dimensional symmetry algebras to their canonical forms

DOI10.1016/j.amc.2016.05.035zbMath1410.34106arXiv1511.02499OpenAlexW2266261578MaRDI QIDQ1733662

Xianqiang Yang

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02499

zbMATH Keywords

canonical formsODEspoint transformationsthree-dimensional symmetry algebras

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (1)

Embedding algorithms and applications to differential equations

Cites Work

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• On computing joint invariants of vector fields
• Transformation groups on real plane and their differential invariants
• Structure and Geometry of Lie Groups
• Subalgebras of real three- and four-dimensional Lie algebras
• Lie Algebras of Vector Fields in the Real Plane
• Lie algebras associated with scalar second-order ordinary differential equations

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