Superposition rules for higher order systems and their applications
type: Item
instance of: scholarly article
title: Superposition rules for higher order systems and their applications
zbMATH Open document ID: 1248.34008
DOI: 10.1088/1751-8113/45/18/185202
author: J. F. Cariñena
author: J. Grabowski
author: J. de Lucas
published in: Journal of Physics A: Mathematical and Theoretical
publication date: 2012-06-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1111.4070
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 22E60
zbMATH DE Number: 6045391
zbMATH Keywords: superposition rules
zbMATH Keywords: systems of higher order differential equations
zbMATH Keywords: second- and third-order Kummer-Schwarz equation
MaRDI profile type: Publication
OpenAlex ID: W2062258703
arXiv ID: 1111.4070
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review text: The authors propose and analyze a general concept of a superposition rule for systems of higher order differential equations. Some specific types of such superposition rules that appear in the literature have been studied and other new types have been introduced and investigated. To highlight the interest of these methods, they are illustrated by means of examples extracted from physics and mathematics. Special attention is paid to second- and third-order Kummer-Schwarz equations.
reviewed by: Oleg V. Makeev
description: scientific article; zbMATH DE number 6045391