Multidimensional Toda Lattices: Continuous and Discrete Time

Multidimensional Toda Lattices: Continuous and Discrete Time

In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we generalize the orthogonal polynomial approach for the continuous and discrete Tod...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2016-01, Vol.12
Hauptverfasser: Aptekarev, Alexander I, Derevyagin, Maxim, Miki, Hiroshi, Walter Van Assche
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coordinates. To construct the systems, we generalize the orthogonal polynomial approach for the continuous and discrete Toda lattices to the case of multiple orthogonal polynomials. [ProQuest: [...] denotes formulae omitted.]
ISSN:1815-0659
DOI:10.3842/SIGMA.2016.054