The use of factors to discover potential systems or linearizations
type: Item
instance of: scholarly article
title: The use of factors to discover potential systems or linearizations
zbMATH Open document ID: 0841.35005
DOI: 10.1007/BF00996104
author: G. Bluman
author: Patrick Doran-Wu
published in: Acta Applicandae Mathematicae
publication date: 1995-12-11T00:00:00Z
review text: A conservation law of a PDE system is named a potential conservation law if at least one component of its generating function is a nowhere vanishing function. It is shown that every potential conservation law generates the covering PDE system of the initial system and that point symmetries of this covering can yield nonlocal symmetries of the initial system and its linearization by a differential substitution. Necessary conditions for the existence of a linearization of a PDE system are given.
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 58B25
zbMATH DE Number: 824520
zbMATH Keywords: nonlocal symmetry
zbMATH Keywords: potential symmetry
zbMATH Keywords: linearization
reviewed by: Valeriy Yumaguzhin
describes a project that uses: CRACK
describes a project that uses: SYMMGRP.MAX
describes a project that uses: SYMMGRP
describes a project that uses: SPDE
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00996104
OpenAlex ID: W4245482011
description: scientific article; zbMATH DE number 824520