Closed Loop Solitons and Sigma Functions: Classical and Quantized Elasticas with Genera One and Two
classification
🧮 math.DG
math-phmath.MPnlin.SI
keywords
functionssigmacaseclassicalclosedgenusloopquantized
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.