Nonlocal representation of the sl(2, R) algebra for the Chazy equation

DOI10.2989/16073606.2018.1441199zbMath1412.34241arXiv1801.04769OpenAlexW2962887006MaRDI QIDQ4622857

Sameerah Jamal, Andronikos Paliathanasis, Peter G. L. Leach

Publication date: 18 February 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04769

zbMATH Keywords

Lie symmetriessingularity analysisnonlocal symmetriesChazy equation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (3)

Lie symmetry analysis and similarity solutions for the Camassa-Choi equations ⋮ One-dimensional optimal system and similarity transformations for the \(3+1\) Kudryashov-Sinelshchikov equation ⋮ Unnamed Item

Cites Work

• A perturbative Painlevé approach to nonlinear differential equations
• Symmetry and the Chazy equation
• Nonlinear ordinary differential equations: A discussion on symmetries and singularities
• Parameterizations of the Chazy Equation
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• On the singularity analysis of ordinary differential equations invariant under time translation and rescaling
• The Painleve test, hidden symmetries and the equation y"+yy'+Ky³=0
• Symmetries and Integrating Factors

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