2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57544This 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 figuresMathematical Physics37K20, 35Q53, 14H45, 14H70text