New conservation laws for inviscid Burgers equation

Detalhes bibliográficos
Autor(a) principal: Freire,Igor Leite
Data de Publicação: 2012
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300007
Resumo: In this paper it is shown that the inviscid Burgers equation is nonlinearly self-adjoint. Then, from Ibragimov's theorem on conservation laws, local conserved quantities are obtained. Mathematical subject classification: Primary: 76M60; Secondary: 58J70.
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spelling New conservation laws for inviscid Burgers equationLie point symmetryIbragimov's Theoremconservation lawsinviscid Burgers equationnonlinear self-adjoint equationsweak self-adjoint equationsIn this paper it is shown that the inviscid Burgers equation is nonlinearly self-adjoint. Then, from Ibragimov's theorem on conservation laws, local conserved quantities are obtained. Mathematical subject classification: Primary: 76M60; Secondary: 58J70.Sociedade Brasileira de Matemática Aplicada e Computacional2012-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300007Computational & Applied Mathematics v.31 n.3 2012reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022012000300007info:eu-repo/semantics/openAccessFreire,Igor Leiteeng2012-11-28T00:00:00Zoai:scielo:S1807-03022012000300007Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2012-11-28T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv New conservation laws for inviscid Burgers equation
title New conservation laws for inviscid Burgers equation
spellingShingle New conservation laws for inviscid Burgers equation
Freire,Igor Leite
Lie point symmetry
Ibragimov's Theorem
conservation laws
inviscid Burgers equation
nonlinear self-adjoint equations
weak self-adjoint equations
title_short New conservation laws for inviscid Burgers equation
title_full New conservation laws for inviscid Burgers equation
title_fullStr New conservation laws for inviscid Burgers equation
title_full_unstemmed New conservation laws for inviscid Burgers equation
title_sort New conservation laws for inviscid Burgers equation
author Freire,Igor Leite
author_facet Freire,Igor Leite
author_role author
dc.contributor.author.fl_str_mv Freire,Igor Leite
dc.subject.por.fl_str_mv Lie point symmetry
Ibragimov's Theorem
conservation laws
inviscid Burgers equation
nonlinear self-adjoint equations
weak self-adjoint equations
topic Lie point symmetry
Ibragimov's Theorem
conservation laws
inviscid Burgers equation
nonlinear self-adjoint equations
weak self-adjoint equations
description In this paper it is shown that the inviscid Burgers equation is nonlinearly self-adjoint. Then, from Ibragimov's theorem on conservation laws, local conserved quantities are obtained. Mathematical subject classification: Primary: 76M60; Secondary: 58J70.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300007
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022012000300007
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022012000300007
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.31 n.3 2012
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
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reponame_str Computational & Applied Mathematics
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repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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