Paliathanasis, A.; Leach, P. G. L. Comment on “Classification of Lie point symmetries for quadratic Liénard type equation \(\ddot{x} + f(x) \dot{x}^2 + g(x) = 0\)”. (English) Zbl 1337.34041 J. Math. Phys. 57, No. 2, 024101, 2 p. (2016). Summary: We demonstrate a simplification of some recent works on the classification of the Lie symmetries for a quadratic equation of Liénard type [A. K. Tiwari et al., ibid. 54, No. 5, 053506, 19 p. (2013; Zbl 1295.34049); ibid. 55, No. 5, 059901, 2 p. (2014; Zbl 1318.34052)]. We observe that the problem could have been resolved more simply.©2016 American Institute of Physics Cited in 5 Documents MSC: 34C14 Symmetries, invariants of ordinary differential equations 34A34 Nonlinear ordinary differential equations and systems 34C20 Transformation and reduction of ordinary differential equations and systems, normal forms Citations:Zbl 1295.34049; Zbl 1318.34052 PDFBibTeX XMLCite \textit{A. Paliathanasis} and \textit{P. G. L. Leach}, J. Math. Phys. 57, No. 2, 024101, 2 p. (2016; Zbl 1337.34041) Full Text: DOI arXiv References: [1] Tiwari, A. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M., J. Math. Phys., 54, 053506 (2013) · Zbl 1295.34049 · doi:10.1063/1.4803455 [2] Tiwari, A. K.; Pandey, S. N.; Senthilvelan, M.; Lakshmanan, M., J. Math. Phys., 55, 059901 (2014) · Zbl 1318.34052 · doi:10.1063/1.4871778 [3] Morozov, V. V., Classification of six-dimensional nilpotent Lie algebras, Izvestia Vysshikh Uchebn Zavendeniĭ Mat., 5, 161 (1958) · Zbl 0198.05501 [4] Mubarakzyanov, G. M., On solvable Lie algebras, Izvestia Vysshikh Uchebn Zavendeniĭ Mat., 32, 114 (1963) · Zbl 0166.04104 [5] Mubarakzyanov, G. M., Classification of real structures of five-dimensional Lie algebras, Izvestia Vysshikh Uchebn Zavendeniĭ Mat., 34, 99 (1963) · Zbl 0166.04201 [6] Mubarakzyanov, G. M., Classification of solvable six-dimensional Lie algebras with one nilpotent base element, Izvestia Vysshikh Uchebn Zavendeniĭ Mat., 35, 104 (1963) · Zbl 0166.04202 [7] Lie, S. M., Differentialgleichungen (1967) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.