Toda lattice hierarchy and Goldstein-Petrich flows for plane curves
Exactly Solvable and Integrable Systems
2013-10-29 v1 Differential Geometry
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 -functions of the Toda lattice hierarchy. A representation formula for discretized plane curves is also discussed.
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Cite
@article{arxiv.1310.7080,
title = {Toda lattice hierarchy and Goldstein-Petrich flows for plane curves},
author = {Kenji Kajiwara and Saburo Kakei},
journal= {arXiv preprint arXiv:1310.7080},
year = {2013}
}
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16 pages