2003/10/27 by Shigeki Matsutani, Matsutani, Shigeki
Mathematics · Physics and Astronomy · #14H45 #14H70 #35Q53 #37K20 #Advanced Differential Equations and Dynamical Systems #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #math-ph #math.MP #msc:14H45 #msc:14H70 #msc:35Q53 #msc:37K20
paper · pdf · doi:10.48550/arxiv.math-ph/0310056
13 pages, 3 figures
arxiv created 2003/10/27 · openalex publication_date 2003/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.