Multidimensional Toda lattices: continuous and discrete time

Multidimensional Toda lattices: continuous and discrete time

© 2016, Institute of Mathematics. All rights reserved. In this paper we present multidimensional analogues of both the continuousand 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 po...

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Veröffentlicht in:SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 2016-01, Vol.12
Hauptverfasser: Aptekarev, Alexander I, Derevyagin, Maxim, Miki, Hiroshi, Van Assche, Walter
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creator Aptekarev, Alexander I
Derevyagin, Maxim
Miki, Hiroshi
Van Assche, Walter
description © 2016, Institute of Mathematics. All rights reserved. In this paper we present multidimensional analogues of both the continuousand 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.
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title Multidimensional Toda lattices: continuous and discrete time
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