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)]

DOI10.1063/1.4940692zbMath1337.34041arXiv1601.02691OpenAlexW3102170414MaRDI QIDQ2795607

Andronikos Paliathanasis, Peter G. L. Leach

Publication date: 21 March 2016

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

Full work available at URL: https://arxiv.org/abs/1601.02691

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (5)

Symmetries and singularities of the Szekeres system ⋮ Comment on “Classification of Lie point symmetries for quadratic Liénard type equation ẍ + f(x) ẋ2 + g(x) = 0” [J. Math. Phys. 54, 053506 (2013)] ⋮ Propagator for the time-dependent charged oscillator via linear and quadratic invariants ⋮ Application of extended Prelle--Singer procedure to the generalized modified Emden type equation ⋮ The Lie symmetry group of the general Liénard-type equation

Cites Work

• 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)]
• 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
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