Multivariate Toda hierarchies and biorthogonal polynomials



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Ariznabarreta García de Cortázar, Gerardo and Mañas Baena, Manuel (2022) Multivariate Toda hierarchies and biorthogonal polynomials. Physica D: nonlinear phenomena, 434 . p. 133202. ISSN 0167-2789

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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.

Item Type:Article
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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

Uncontrolled Keywords:Multivariate orthogonal polynomials; Multivariate Toda hierarchy; Generalized KP equations; Bilinear equations; Borel–Gauss factorization; Quasi-determinants
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:72528
Deposited On:27 May 2022 17:52
Last Modified:30 May 2022 07:02

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