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.
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| Shigeki Matsutani |
Sagamihara, 228-0811, Japan
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