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Multivariate Toda hierarchies and biorthogonal polynomials

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dc.contributor.authorAriznabarreta García de Cortázar, Gerardo
dc.contributor.authorMañas Baena, Manuel Enrique
dc.date.accessioned2023-06-22T10:43:54Z
dc.date.available2023-06-22T10:43:54Z
dc.date.issued2022-02-25
dc.descriptionCRUE-CSIC (Acuerdos Transformativos 2022). © 2022 The Author(s). Thanks financial support from the Universidad Complutense de Madrid Program ‘‘Ayudas para Becas y Contratos Complutenses Predoctorales en España 2011’’. Thanks financial support from the Spanish ‘‘Agencia Estatal de Investigación’’ research project [PGC2018-096504-B-C33] , Ortogonalidad y Aproximación: Teoría y Aplicaciones en Física Matemática
dc.description.abstractA new multivariate Toda hierarchy of nonlinear partial differential equations adapted to multivariate biorthogonal polynomials is discussed. This integrable hierarchy is associated with non-standard multivariate biorthogonality. Wave and Baker functions, linear equations, Lax and Zakharov–Shabat equations, KP type equations, appropriate reductions, Darboux or linear spectral transformations, and bilinear equations involving linear spectral transformations are presented.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovacion (MICINN)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/72528
dc.identifier.doi10.1016/j.physd.2022.133202
dc.identifier.issn0167-2789
dc.identifier.officialurlhttps://doi.org/10.1016/j.physd.2022.133202
dc.identifier.relatedurlhttps://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/71532
dc.journal.titlePhysica D: nonlinear phenomena
dc.language.isoeng
dc.page.initial133202
dc.publisherElsevier
dc.relation.projectIDPGC2018-096504-B-C33
dc.relation.projectIDAyudas para Becas y Contratos Complutenses Predoctorales en España 2011
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/es/
dc.subject.cdu51-73
dc.subject.keywordMultivariate orthogonal polynomials
dc.subject.keywordMultivariate Toda hierarchy
dc.subject.keywordGeneralized KP equations
dc.subject.keywordBilinear equations
dc.subject.keywordBorel–Gauss factorization
dc.subject.keywordQuasi-determinants
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleMultivariate Toda hierarchies and biorthogonal polynomials
dc.typejournal article
dc.volume.number434
dspace.entity.typePublication
relation.isAuthorOfPublication0d5b5872-7553-4b33-b0e5-085ced5d8f42
relation.isAuthorOfPublication.latestForDiscovery0d5b5872-7553-4b33-b0e5-085ced5d8f42

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