Título:	Nonlocal pseudosymmetries and bäcklund transformations as 𝒞-morphisms
Autor(es):	Catalano Ferraioli, Diego Castro Silva, Tarcísio
ORCID:	https://orcid.org/0000-0002-5684-0493 https://orcid.org/0000-0001-9605-9311
Afiliação do autor:	Universidade de Brasília, Department of Mathematics Universidade Federal da Bahia, Department of Mathematics
Assunto:	Transformações de Bäcklund Pseudosimetrias não locais-morfismos Recobrimentos diferenciáveis Espaços de jato Geometria das EDPs
Data de publicação:	jun-2026
Editora:	Elsevier BV
Referência:	CATALANO 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.
Abstract:	In 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.
Unidade Acadêmica:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
Licença:	This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)
DOI:	https://doi.org/10.1016/j.jde.2026.114334
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