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dc.contributor.authorCatalano Ferraioli, Diego-
dc.contributor.authorCastro Silva, Tarcísio-
dc.date.accessioned2026-07-21T15:09:54Z-
dc.date.available2026-07-21T15:09:54Z-
dc.date.issued2026-06-
dc.identifier.citationCATALANO FERRAIOLI, Diego; CASTRO SILVA, Tarcísio. Nonlocal pseudosymmetries and bäcklund transformations as 𝒞-morphisms. Journal of Differential Equations, [S. l.], v. 467, 114334, 2026. DOI: https://doi.org/10.1016/j.jde.2026.114334. Disponível em: https://www.sciencedirect.com/science/article/pii/S002203962600241X?via%3Dihub. Acesso em: 21 jul. 2026.pt_BR
dc.identifier.urihttps://doi.org/10.1016/j.jde.2026.114334pt_BR
dc.identifier.urihttp://repositorio.unb.br/handle/10482/55470-
dc.language.isoengpt_BR
dc.publisherElsevier BVpt_BR
dc.rightsAcesso Abertopt_BR
dc.titleNonlocal pseudosymmetries and bäcklund transformations as 𝒞-morphismspt_BR
dc.typeArtigopt_BR
dc.subject.keywordTransformações de Bäcklundpt_BR
dc.subject.keywordPseudosimetrias não locais-morfismospt_BR
dc.subject.keywordRecobrimentos diferenciáveispt_BR
dc.subject.keywordEspaços de jatopt_BR
dc.subject.keywordGeometria das EDPspt_BR
dc.rights.licenseThis is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)pt_BR
dc.identifier.doihttps://doi.org/10.1016/j.jde.2026.114334pt_BR
dc.description.abstract1In this paper, we show how factorisation with respect to nonlocal pseudosymmetries enables us to obtain Bäcklund transformations, which are described as nonlocal-morphisms of differential equations. It follows that, in this approach, Bäcklund transformations are determined by basic invariants of the exploited nonlocal pseudosymmetries. As illustrated in several representative examples, including one involving a new integrable equation, our resulting framework enables a very general structural approach, distinct from the case-by-case ones often adopted in the literature - especially in the analysis of cases where the sought Bäcklund transformations also affect the independent variables.pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0002-5684-0493pt_BR
dc.identifier.orcidhttps://orcid.org/0000-0001-9605-9311pt_BR
dc.contributor.affiliationUniversidade de Brasília, Department of Mathematicspt_BR
dc.contributor.affiliationUniversidade Federal da Bahia, Department of Mathematicspt_BR
dc.description.unidadeInstituto de Ciências Exatas (IE)pt_BR
dc.description.unidadeDepartamento de Matemática (IE MAT)pt_BR
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