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

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