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Toda lattice hierarchy and Goldstein-Petrich flows for plane curves
Preprint
26 October 2013
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Abstract
A relation between the Goldstein-Petrich hierarchy for plane curves and the Toda lattice hierarchy is investigated. A representation formula for plane curves is given in terms of a special class of \(\tau\)-functions of the Toda lattice hierarchy. A representation formula for discretized plane curves is also discussed.
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Most cited references17
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Michio Jimbo, Tetsuji Miwa (1983)
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Discrete Analogue of a Generalized Toda Equation
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Tetsuji Miwa (1982)