Second order ODE's cubic in the first order derivative with\n 2-dimensional symmetry algebra

2013/07/12 by Vera V. Kartak, Kartak, Vera V.
Mathematics · Physics and Astronomy · #34A26 #34A34 #34C14 #34C20 #34C41 #53A55 #Advanced Differential Geometry Research #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1307.3327

openalex publication_date 2013/07/12 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We describe the second order ODE's cubic in the first order derivative with\n2-dimensional symmetry algebra. We show that there exist only eight different\ntypes of them. We also construct the easily verifiable Equivalence Criterion\nfor every type of equations analogous to Linearization Criterion of S. Lie.\n

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