On integrability of one third-order nonlinear evolution equation
Exactly Solvable and Integrable Systems
2007-05-23 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
We study one third-order nonlinear evolution equation, recently introduced by Chou and Qu in a problem of plane curve motions, and find its transformation to the modified Korteweg - de Vries equation, its zero-curvature representation with an essential parameter, and its second-order recursion operator.
Cite
@article{arxiv.nlin/0303040,
title = {On integrability of one third-order nonlinear evolution equation},
author = {S. Yu. Sakovich},
journal= {arXiv preprint arXiv:nlin/0303040},
year = {2007}
}
Comments
10 pages