Reality conditions of loop solitons genus g: hyperelliptic am functions
Date
2007-06-16
Authors
Matsutani, Shigeki
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Loop soliton, Elastica, Reality condition, Hyperelliptic functions
Citation
Matsutani, S. (2007). Reality conditions of loop solitons genus g: hyperelliptic am functions. <i>Electronic Journal of Differential Equations, 2007</i>(91), pp. 1-12.
Rights
Attribution 4.0 International