Two-dimensional systems that arise from the Noether classification of Lagrangians on the line
type: Item
instance of: scholarly article
title: Two-dimensional systems that arise from the Noether classification of Lagrangians on the line
zbMATH Open document ID: 1237.70039
author: F. M. Mahomed
author: M. U. Farooq
author: Sajid Ali
published in: Applied Mathematics and Computation
publication date: 2011-04-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1001.4622
review text: The paper under review is devoted to a Noether classification for systems of two second-order ODEs of variational type that arise from the submaximal and maximal Noether symmetry classification of Lagrangians on the line. A main tool is the notion of \textit{Noether-like operators} which provides an algebraic study of such systems derived from complex Euler-Lagrange equations and also yield new first integrals. The main results are: 1) a classification of systems with respect to the Noether-like operators they admit; 2) a Noether counting theorem as an analogue of Lie counting theorem.
reviewed by: Mircea Crasmareanu
Mathematics Subject Classification ID: 70H33
Mathematics Subject Classification ID: 70H03
zbMATH DE Number: 5880133
zbMATH Keywords: complex Lagrangian
zbMATH Keywords: Noether-like operators
zbMATH Keywords: Noether classification
describes a project that uses: SYMMGRP
MaRDI profile type: Publication
OpenAlex ID: W1997403176
arXiv ID: 1001.4622
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DOI: 10.1016/J.AMC.2011.01.104
description: scientific article