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

Published 24 Feb 2012 in nlin.SI | (1202.5404v1)

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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Authors (1)

Jose Carlos Brunelli

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