On Rational Solutions of Dressing Chains of Even Periodicity

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversity of Illinois at Chicago-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorAratyn, Henrik-
Autor(es): dc.creatorGomes, José Francisco-
Autor(es): dc.creatorLobo, Gabriel Vieira-
Autor(es): dc.creatorZimerman, Abraham Hirsz-
Data de aceite: dc.date.accessioned2025-08-21T22:19:33Z-
Data de disponibilização: dc.date.available2025-08-21T22:19:33Z-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2023-07-29-
Data de envio: dc.date.issued2022-12-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.3390/sym15010249-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/248255-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/248255-
Descrição: dc.descriptionWe develop a systematic approach to deriving rational solutions and obtaining classification of their parameters for dressing chains of even N periodicity or equivalent Painlevé equations invariant under (Formula presented.) symmetry. This formalism identifies rational solutions (as well as special function solutions) with points on orbits of fundamental shift operators of (Formula presented.) affine Weyl groups acting on seed configurations defined as first-order polynomial solutions of the underlying dressing chains. This approach clarifies the structure of rational solutions and establishes an explicit and systematic method towards their construction. For the special case of the (Formula presented.) dressing chain equations, the method yields all the known rational (and special function) solutions of the Painlevé V equation. The formalism naturally extends to (Formula presented.) and beyond as shown in the paper.-
Descrição: dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionDepartment of Physics University of Illinois at Chicago, 845 W. Taylor St.-
Descrição: dc.descriptionInstituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II-
Descrição: dc.descriptionInstituto de Física Teórica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II-
Idioma: dc.languageen-
Relação: dc.relationSymmetry-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectaffine Weyl symmetries-
Palavras-chave: dc.subjectBäcklund transformations-
Palavras-chave: dc.subjectdressing chain equations-
Palavras-chave: dc.subjectHamilton equations-
Palavras-chave: dc.subjectPainlevé equations-
Título: dc.titleOn Rational Solutions of Dressing Chains of Even Periodicity-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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