Nonlocal symmetries of Riccati and Abel chains and their similarity reductions

DOI10.1063/1.3682473zbMath1274.34020arXiv1202.4593OpenAlexW1980596225MaRDI QIDQ2861698

Maria Luz Gandarias, Maria de los Santos Bruzon Gallego, Murugaian Senthilvelan

Publication date: 11 November 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4593

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Dynamic equations on time scales or measure chains (34N05)

Related Items (7)

Equivalence classes and linearization of the Riccati and Abel chain ⋮ Investigation of breaking dynamics for Riemann waves in shallow water ⋮ A generalization of the \(S\)-function method applied to a Duffing-van der Pol forced oscillator ⋮ Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: the \(S\)-function method ⋮ Painlevé equations, integrable systems and the stabilizer set of Virasoro orbit ⋮ Order preserving contact transformations and dynamical symmetries of scalar and coupled Riccati and Abel chains ⋮ \({\lambda}\)-symmetries of some chains of ordinary differential equations

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