Some symmetry properties of the Riccati differential sequence and its integrals

DOI10.1007/S13370-014-0292-5zbMath1378.34054OpenAlexW2070114960MaRDI QIDQ898006

N. E. Zubov

Publication date: 8 December 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0292-5

zbMATH Keywords

singularitiessymmetriesRiccati sequence

Mathematics Subject Classification ID

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

Cites Work

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• Symmetries of nonlinear differential equations and linearisation
• On the singularity analysis of ordinary differential equations invariant under time translation and rescaling
• Analysis and solution of a nonlinear second-order differential equation through rescaling and through a dynamical point of view
• The Painleve test, hidden symmetries and the equation y"+yy'+Ky³=0
• Nonlocal symmetries and integrable ordinary differential equations: ẍ+3xẋ+x3= and its generalizations
• The Economy of Complete Symmetry Groups for Linear Higher Dimensional Systems
• Complete symmetry groups of ordinary differential equations and their integrals: Some basic considerations

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