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arXiv · 1405.4046

Central Affine Curve Flow on the Plane

Chuu-Lian Terng·Zhiwei Wu
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Abstract

We give the following results for Pinkall's central affine curve flow on the plane: (i) a systematic and simple way to construct the known higher commuting curve flows, conservation laws, and a bi-Hamiltonian structure, (ii) Baecklund transformations and a permutability formula, (iii) infinitely many families of explicit solutions. We also solve the Cauchy problem for periodic initial data.

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Chuu-Lian Terng, Zhiwei Wu. 2014-05-16. Central Affine Curve Flow on the Plane. https://arxiv.org/abs/1405.4046

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