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arXiv · 1202.5404

Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion

Jose Carlos Brunelli
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Abstract

We provide a geometrical interpretation for the series of transformations used by Sakovich to map the third-order nonlinear evolution equation obtained by Chou and Qu to the mKdV equation. We also discuss its bi-Hamiltonian integrability as well as integrable equations associated with this system.

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Jose Carlos Brunelli. 2012-02-24. Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion. https://doi.org/10.1063/1.3036179

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