Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 91, pp. 1-12.

Title: Reality conditions of loop solitons genus $g$:
       hyperelliptic am functions

Author: Shigeki Matsutani  (Sagamihara, Japan)

Abstract:
 This article is devoted to an investigation of a reality condition
 of a hyperelliptic loop soliton of higher genus. In the
 investigation, we have a natural extension of Jacobi am-function
 for an elliptic curves to that for a hyperelliptic curve. We also
 compute winding numbers of loop solitons.

Submitted March 16, 2006. Published June 16, 2007.
Math Subject Classifications: 37K20, 35Q53, 14H45, 14H70.
Key Words: Loop soliton; elastica; reality condition; 
           hyperelliptic functions.