Darboux integrability for diagonal systems of hydrodynamic type

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorAgafonov, Sergey I-
Data de aceite: dc.date.accessioned2025-08-21T22:27:05Z-
Data de disponibilização: dc.date.available2025-08-21T22:27:05Z-
Data de envio: dc.date.issued2025-04-29-
Data de envio: dc.date.issued2023-09-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1088/1361-6544/ace1cd-
Fonte completa do material: dc.identifierhttps://hdl.handle.net/11449/308541-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/308541-
Descrição: dc.descriptionWe prove that (1) diagonal systems of hydrodynamic type are Darboux integrable if and only if the corresponding systems for commuting flows are Darboux integrable, (2) systems for commuting flows are Darboux integrable if and only if the Laplace transformation sequences terminate, (3) Darboux integrable systems are necessarily semihamiltonian. We give geometric interpretation for Darboux integrability of such systems in terms of congruences of lines and in terms of solution orbits with respect to symmetry subalgebras, discuss known and new examples.-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University-UNESP-
Descrição: dc.descriptionDepartment of Mathematics São Paulo State University-UNESP-
Formato: dc.format4709-4739-
Idioma: dc.languageen-
Relação: dc.relationNonlinearity-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectcongruence of lines-
Palavras-chave: dc.subjectDarboux integrability-
Palavras-chave: dc.subjectLaplace transformation-
Título: dc.titleDarboux integrability for diagonal systems of hydrodynamic type-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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