Reality conditions of loop solitons genus $g$: hyperelliptic am functions

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.

Bibliographic Details
Main Author: Shigeki Matsutani
Format: Article
Language:English
Published: Texas State University 2007-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/91/abstr.html