Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry
type: Item
instance of: scholarly article
title: Symmetries, integrals and solutions of ordinary differential equations of maximal symmetry
zbMATH Open document ID: 1200.34040
author: R. R. Warne
author: P. G. L. Leach
author: N. C. Caister
author: Viroshan Naicker
author: N. Euler
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2010-05-03T00:00:00Z
review text: The authors review the properties of the standard symmetries of the representative equations of the second- and third-order of maximal symmetry of point (second-order) and contact (third-order) symmetries in terms of the corresponding finite transformations and actions on solutions and fundamental first integrals. In the case of so-called exceptional symmetries (i.e. those not considered to be generic to scalar equations of maximal symmetry) it is shown how to construct an equivalence class with a property as coherent as found for the other classes of symmetry. Some properties of these symmetries are demonstrated.
Mathematics Subject Classification ID: 34C14
zbMATH DE Number: 5703365
zbMATH Keywords: Lie symmetry
zbMATH Keywords: exceptional symmetries
zbMATH Keywords: mapping of integrals and solutions
reviewed by: Oleg V. Makeev
MaRDI profile type: Publication
full work available at URL: s12044-010-0001-8
OpenAlex ID: W2015696449
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DOI: 10.1007/S12044-010-0001-8
description: scientific article; zbMATH DE number 5703365