Group classification of the generalized Emden-Fowler-type equation
type: Item
instance of: scholarly article
title: Group classification of the generalized Emden-Fowler-type equation
zbMATH Open document ID: 1191.34045
author: F. M. Mahomed
author: Chaudry Masood Khalique
author: Basetsana Pauline Ntsime
published in: Nonlinear Analysis. Real World Applications
publication date: 2009-11-13T00:00:00Z
review text: This work is devoted to the [group-theoretical] analysis of the generalized Emden-Fowler equation \[ xu^{\prime\prime}+nu^{\prime}+x^{\nu}F(u)=0. \] In dependence of the function \(F(u)\), the point symmetries of the equation are found, which gives eight possible cases. Up to the well known linearizable case, the number of these symmetries does not exceed three. These are then compared with the Noether symmetries in order to obtain first integrals. The symmetries are applied in some cases to reduce the corresponding equation.
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 34A05
zbMATH DE Number: 5632767
zbMATH Keywords: group classification
zbMATH Keywords: Noether point symmetries
zbMATH Keywords: Lane-Emden and Emden-Fowler equations
zbMATH Keywords: partial Noether operator
reviewed by: Rutwig Campoamor Stursberg
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2008.09.020
OpenAlex ID: W2074568071
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DOI: 10.1016/J.NONRWA.2008.09.020
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description: scientific article; zbMATH DE number 5632767