Closed Loop Solitons and Sigma Functions: Classical and Quantized Elasticas with Genera One and Two
Differential Geometry
2009-10-31 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
Closed loop solitons in a plane, whose curvatures obey the modified Korteweg-de Vries equation, were investigated. It was shown that their tangential vectors are expressed by ratio of Weierstrass sigma functions for genus one case and ratio of Baker's sigma functions for the genus two case. This study is closely related to classical and quantized elastica problems.
Cite
@article{arxiv.math/0008153,
title = {Closed Loop Solitons and Sigma Functions: Classical and Quantized Elasticas with Genera One and Two},
author = {Shigeki Matsutani},
journal= {arXiv preprint arXiv:math/0008153},
year = {2009}
}
Comments
AMS-Tex Use 12 pages