Automatic determination of dynamical symmetries of ordinary differential equations
type: Item
instance of: scholarly article
title: Automatic determination of dynamical symmetries of ordinary differential equations
zbMATH Open document ID: 0669.65075
DOI: 10.1007/BF02241219
author: S. H. Smith
published in: Computing
publication date: 1989-01-01T00:00:00Z
review text: The paper deals with the application of the program package CRACKSTAR to the problem of finding infinitesimal symmetries of ordinary differential equations thus reducing their order. The package is designed to solve overdetermined systems of partial differential equations (the so called symmetry equations) and allows to investigate not only point symmetries but contact and dynamical ones as well. Three examples are given illustrating the implementation of the package.
Mathematics Subject Classification ID: 65L99
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 4096729
zbMATH Keywords: dynamical symmetries
zbMATH Keywords: reduction
zbMATH Keywords: program package CRACKSTAR
zbMATH Keywords: infinitesimal symmetries
zbMATH Keywords: overdetermined systems
zbMATH Keywords: symmetry equations
reviewed by: Mihail M. Konstantinov
describes a project that uses: LIE
describes a project that uses: SPDE
MaRDI profile type: Publication
cites work: Automatically determining symmetries of partial differential equations
cites work: An analytic algorithm for decoupling and integrating systems of nonlinear partial differential equations
cites work: Symmetries of Differential Equations: From Sophus Lie to Computer Algebra
full work available at URL: https://doi.org/10.1007/bf02241219
OpenAlex ID: W419087269
description: scientific article; zbMATH DE number 4096729