Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications

Autores
Rogers, Colin; Briozzo, Adriana Clotilde
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition principle. Application of the latter together with a class of involutory transformations sets the original moving boundary problem in a wide class with temporal modulation. As an appendix, reciprocally associated exactly solvable moving boundary problems are derived.
Fil: Rogers, Colin. University of New South Wales; Australia
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Materia
Moving boundary problems
Ermakov symmetry reduction
Nonlinear superposition principle
Reciprocal transformation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/280149
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/280149
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applicationsRogers, ColinBriozzo, Adriana ClotildeMoving boundary problemsErmakov symmetry reductionNonlinear superposition principleReciprocal transformationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition principle. Application of the latter together with a class of involutory transformations sets the original moving boundary problem in a wide class with temporal modulation. As an appendix, reciprocally associated exactly solvable moving boundary problems are derived.Fil: Rogers, Colin. University of New South Wales; AustraliaFil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaEPI Sciences2025-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/280149Rogers, Colin; Briozzo, Adriana Clotilde; Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications; EPI Sciences; Open Communications in Nonlinear Mathematical Physics; Volume 5; 10-2025; 1-112802-9356CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://ocnmp.episciences.org/16483info:eu-repo/semantics/altIdentifier/doi/10.46298/ocnmp.16483info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-06T12:20:26Zoai:ri.conicet.gov.ar:11336/280149instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-02-06 12:20:27.203CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
title Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
spellingShingle Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
Rogers, Colin
Moving boundary problems
Ermakov symmetry reduction
Nonlinear superposition principle
Reciprocal transformation
title_short Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
title_full Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
title_fullStr Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
title_full_unstemmed Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
title_sort Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications
dc.creator.none.fl_str_mv Rogers, Colin
Briozzo, Adriana Clotilde
author Rogers, Colin
author_facet Rogers, Colin
Briozzo, Adriana Clotilde
author_role author
author2 Briozzo, Adriana Clotilde
author2_role author
dc.subject.none.fl_str_mv Moving boundary problems
Ermakov symmetry reduction
Nonlinear superposition principle
Reciprocal transformation
topic Moving boundary problems
Ermakov symmetry reduction
Nonlinear superposition principle
Reciprocal transformation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition principle. Application of the latter together with a class of involutory transformations sets the original moving boundary problem in a wide class with temporal modulation. As an appendix, reciprocally associated exactly solvable moving boundary problems are derived.
Fil: Rogers, Colin. University of New South Wales; Australia
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
description Moving boundary problems of Stefan-type for a novel third order nonlinear evolution equation with temporal modulation are here shown to be amenable to exact Airy-type solution via a classical Ermakov equation with its admitted nonlinear superposition principle. Application of the latter together with a class of involutory transformations sets the original moving boundary problem in a wide class with temporal modulation. As an appendix, reciprocally associated exactly solvable moving boundary problems are derived.
publishDate 2025
dc.date.none.fl_str_mv 2025-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/280149
Rogers, Colin; Briozzo, Adriana Clotilde; Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications; EPI Sciences; Open Communications in Nonlinear Mathematical Physics; Volume 5; 10-2025; 1-11
2802-9356
CONICET Digital
CONICET
url http://hdl.handle.net/11336/280149
identifier_str_mv Rogers, Colin; Briozzo, Adriana Clotilde; Moving boundary problems with Ermakov symmetry reduction: nonlinear superposition principle and reciprocal transformation applications; EPI Sciences; Open Communications in Nonlinear Mathematical Physics; Volume 5; 10-2025; 1-11
2802-9356
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ocnmp.episciences.org/16483
info:eu-repo/semantics/altIdentifier/doi/10.46298/ocnmp.16483
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv EPI Sciences
publisher.none.fl_str_mv EPI Sciences
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.106097

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