New connections between moving curves and soliton equations
Pattern Formation and Solitons
2009-11-07 v2
Abstract
Lamb has identified a certain class of moving space curves with soliton equations. We show that there are two other classes of curve evolution that may be so identified. Hence three distinct classes of curve evolution are associated with a given integrable equation. The nonlinear Schr\"{o}dinger equation is used to illustrate this explicitly.
Keywords
Cite
@article{arxiv.nlin/0104066,
title = {New connections between moving curves and soliton equations},
author = {S. Murugesh and Radha Balakrishnan},
journal= {arXiv preprint arXiv:nlin/0104066},
year = {2009}
}
Comments
some minor corrections made. 17 pages. Accepted in Phys. Lett. A