On the uniqueness of the Schwarzian and linearisation by nonlocal contact transformation

DOI10.1006/jmaa.1999.6362zbMath0938.34078OpenAlexW2085053482MaRDI QIDQ1300020

Peter G. L. Leach, Keshlan S. Govinder

Publication date: 25 October 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6362

zbMATH Keywords

SchwarzianKummer-Schwarz equationgroup theoretic pointnonlocal contact transformation

Mathematics Subject Classification ID

Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items

Multisymplectic structures and invariant tensors for Lie systems ⋮ Reduction and reconstruction of multisymplectic Lie systems ⋮ Symmetry and singularity properties of second-order ordinary differential equations of Lie's Type III. ⋮ Equivalence classes of second-order ordinary differential equations with only a three-dimensional Lie algebra of point symmetries and linearisation. ⋮ Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds ⋮ On the equivalence of linear equations under nonlocal transformation. ⋮ Global dynamics of the Kummer-Schwarz differential equation ⋮ Generating functions and existence of contact symmetries of third order scalar ordinary differential equations ⋮ On Lie systems and Kummer-Schwarz equations ⋮ Symmetry and singularity properties of the generalised Kummer-Schwarz and related equa\-tions ⋮ On the generalizations of the Kummer-Schwarz equation ⋮ Ordinary differential equations invariant under translation in the independent variable and rescaling: The Lagrangian formulation

Uses Software

• LIE

Cites Work

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