paper

Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions

arXiv:math-ph/0310056

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.

13 pages, 3 figures

Reality Conditions of Loop Solitons Genus g: Hyperelliptic am Functions · wovepaper