Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion
arXiv:1202.5404 · doi:10.1063/1.3036179
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.
13 pages, 1 figure