On the symmetry solutions of two-dimensional systems not solvable by standard symmetry analysis

2011/04/19 by Sajid Ali, Asghar Qadir, Ali, Sajid +3 · 1 citation
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA

paper · pdf · doi:10.48550/arxiv.1104.3837

This version is withdrawn because an updated version is uploaded by a co author on arXiv:1411.1182

arxiv created 2014/11/06 · arxiv updated 2014/11/07

Abstract

A class of two-dimensional systems of second-order ordinary differential equations is identified in which a system requires fewer Lie point symmetries than required to solve it. The procedure distinguishes among those which are linearizable, complex-linearizable and solvable systems. We also present the underlying concept diagrammatically that provides an analogue in \Re³ of the geometric linearizability criteria in \Re².

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• Linearization from complex Lie point transformations

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