On the geometry of point-transformation invariant class of third-order ordinary differential equations

DOI10.1007/s11006-005-0066-3zbMath1088.34028OpenAlexW2085350894WikidataQ115381853 ScholiaQ115381853MaRDI QIDQ2388178

Vera V. Kartak

Publication date: 8 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0066-3

zbMATH Keywords

point transformationpseudo-vector field

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Cites Work

• The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
• Classification of 3rd order linear ODE up to equivalence
• Point-invariant classes of third-order ordinary differential equations
• The geometry of point extensions of a class of second-order differential equations
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