Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion
Exactly Solvable and Integrable Systems
2012-02-27 v1
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.
Keywords
Cite
@article{arxiv.1202.5404,
title = {Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion},
author = {Jose Carlos Brunelli},
journal= {arXiv preprint arXiv:1202.5404},
year = {2012}
}
Comments
13 pages, 1 figure