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arxiv: 1310.7080 · v1 · pith:AVYBKNSBnew · submitted 2013-10-26 · 🌊 nlin.SI · math.DG

Toda lattice hierarchy and Goldstein-Petrich flows for plane curves

classification 🌊 nlin.SI math.DG
keywords curveshierarchyplanelatticetodaformulagoldstein-petrichrepresentation
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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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