Discrete Curves in and the Toda Lattice

In this paper, we investigate flows on discrete curves in , and . A novel interpretation of the one‐dimensional Toda lattice hierarchy and reductions thereof as flows on discrete curves are given.

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Bibliographic Details
Published in:Studies in applied mathematics (Cambridge) 2004-07, Vol.113 (1), p.31-55
Main Authors: Hoffmann, Tim, Kutz, Nadja
Format: Article
Language:English
Subjects:
Combinatorics
Mathematical analysis
Mathematical models
Studies
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Description
Summary:In this paper, we investigate flows on discrete curves in , and . A novel interpretation of the one‐dimensional Toda lattice hierarchy and reductions thereof as flows on discrete curves are given.
ISSN:0022-2526
1467-9590
DOI:10.1111/j.1467-9590.2004.01493.x