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.
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2007-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/91/abstr.html |
| _version_ | 1818905653440151552 |
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| author | Shigeki Matsutani |
| author_facet | Shigeki Matsutani |
| author_sort | Shigeki Matsutani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T21:26:45Z |
| format | Article |
| id | doaj.art-905af6310b35423d88d267bfb53c8245 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T21:26:45Z |
| publishDate | 2007-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-905af6310b35423d88d267bfb53c82452022-12-21T20:05:06ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-06-01200791112Reality conditions of loop solitons genus $g$: hyperelliptic am functionsShigeki MatsutaniThis 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.http://ejde.math.txstate.edu/Volumes/2007/91/abstr.htmlLoop solitonelasticareality conditionhyperelliptic functions |
| spellingShingle | Shigeki Matsutani Reality conditions of loop solitons genus $g$: hyperelliptic am functions Electronic Journal of Differential Equations Loop soliton elastica reality condition hyperelliptic functions |
| title | Reality conditions of loop solitons genus $g$: hyperelliptic am functions |
| title_full | Reality conditions of loop solitons genus $g$: hyperelliptic am functions |
| title_fullStr | Reality conditions of loop solitons genus $g$: hyperelliptic am functions |
| title_full_unstemmed | Reality conditions of loop solitons genus $g$: hyperelliptic am functions |
| title_short | Reality conditions of loop solitons genus $g$: hyperelliptic am functions |
| title_sort | reality conditions of loop solitons genus g hyperelliptic am functions |
| topic | Loop soliton elastica reality condition hyperelliptic functions |
| url | http://ejde.math.txstate.edu/Volumes/2007/91/abstr.html |
| work_keys_str_mv | AT shigekimatsutani realityconditionsofloopsolitonsgenusghyperellipticamfunctions |