Lie symmetries of differential equations by computer algebra
type: Item
instance of: scholarly article
title: Lie symmetries of differential equations by computer algebra
zbMATH Open document ID: 0914.35120
published in: Mathematical \& Computational Applications
publication date: 1999-06-14T00:00:00Z
review text: A three dimensional solvable algebra of classical symmetries of the equation \(u_{tt}=a\dot u_{xx}+b\dot u_{xxxx}+c(u^2)_{xx}\) is calculated with the help of computer the algebraic system Mathematica and package Lie [\ ] from the preprint: [\textit{G. Baumann}, Lie symmetries of differential equations. A Mathematica program to determine Lie symmetries, Preprint (1996)]. The obtained symmetries are used to obtain reductions of this equation to ordinary differential equations.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 1239796
zbMATH Keywords: classical symmetry
zbMATH Keywords: generalized Burgers equation
zbMATH Keywords: computer algebra
author: Mehmet Can
reviewed by: Valeriy Yumaguzhin
describes a project that uses: Mathematica
describes a project that uses: LiE
MaRDI profile type: Publication
full work available at URL: mca1010015
OpenAlex ID: W2345333505
Wikidata QID: Q115220963
DOI: 10.3390/MCA1010015
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description: scientific article; zbMATH DE number 1239796