Multivariate Toda hierarchies and biorthogonal polynomials
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 equ...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/71532 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/71532 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Multivariate orthogonal polynomials Multivariate Toda hierarchy Generalized KP equations Bilinear equations Borel–Gauss factorization Quasi-determinants Física-Modelos matemáticos Física matemática |
| Sumario: | 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. |
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