Erratum: “Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0” [J. Math. Phys. 54, 053506 (2013)]

DOI10.1063/1.4871778zbMath1318.34052OpenAlexW1515813837MaRDI QIDQ5171377

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Publication date: 26 July 2014

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

Full work available at URL: https://doi.org/10.1063/1.4871778

zbMATH Keywords

nonlocal transformationlinearizable

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items

Quantization of quadratic Liénard-type equations by preserving Noether symmetries ⋮ Comment on “Classification of Lie point symmetries for quadratic Liénard type equation ẍ+f(x)ẋ2+g(x)=” [J. Math. Phys. 54, 053506 (2013) and its erratum [J. Math. Phys. 55, 059901 (2014)]] ⋮ The Lie symmetry group of the general Liénard-type equation ⋮ Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators

Cites Work

• Nonlocal symmetries of a class of scalar and coupled nonlinear ordinary differential equations of any order
• A multidimensional superposition principle: numerical simulation and analysis of soliton invariant manifolds I
• Classification of Lie point symmetries for quadratic Liénard type equation $\ddot{x}+f(x)\dot{x}^2+g(x)=0$ẍ+f(x)ẋ2+g(x)=0
• A nonlocal connection between certain linear and nonlinear ordinary differential equations/oscillators