Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions

Details Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions

2003-10-27

arxiv.org/abs/math-ph/0310056v1

Physics

Mathematical Physics

13 pages, 3 figures

Scientific paper

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.

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