Motion of Curves on Two Dimensional Surfaces and Soliton Equations
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
A connection is established between the soliton equations and curves moving in a three dimensional space . The sign of the self-interacting terms of the soliton equations are related to the signature of . It is shown that there corresponds a moving curve to each soliton equations.
Cite
@article{arxiv.solv-int/9803001,
title = {Motion of Curves on Two Dimensional Surfaces and Soliton Equations},
author = {Metin Gurses},
journal= {arXiv preprint arXiv:solv-int/9803001},
year = {2009}
}
Comments
Latex, 15 pp, to be published in Physics Letters A