Closed Loop Solitons and Sigma Functions: Classical and Quantized Elasticas with Genera One and Two
Matsutani, Shigeki
arXiv, 0008153 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-08-20
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems 
@article{0008153,
     author = {Matsutani, Shigeki},
     title = {Closed Loop Solitons and Sigma Functions: Classical and Quantized
  Elasticas with Genera One and Two},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008153}
}

Matsutani, Shigeki. Closed Loop Solitons and Sigma Functions: Classical and Quantized
  Elasticas with Genera One and Two. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008153/