RT Journal Article
T1 Multivariate Toda hierarchies and biorthogonal polynomials
A1 Ariznabarreta García de Cortázar, Gerardo
A1 Mañas Baena, Manuel Enrique
AB A 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.
PB Elsevier
SN 0167-2789
YR 2022
FD 2022-02-25
LK https://hdl.handle.net/20.500.14352/71532
UL https://hdl.handle.net/20.500.14352/71532
LA eng
NO CRUE-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
NO Ministerio de Ciencia e Innovacion (MICINN)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 20 abr 2025