Discrete Integrable Equations over Finite Fields
Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV equation related to a Yang-Baxter map. Explic...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148406 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Discrete Integrable Equations over Finite Fields / M. Kanki, J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862545049478234112 |
|---|---|
| author | Kanki, M. Mada, J. Tokihiro, T. |
| author_facet | Kanki, M. Mada, J. Tokihiro, T. |
| citation_txt | Discrete Integrable Equations over Finite Fields / M. Kanki, J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV equation related to a Yang-Baxter map. Explicit forms of soliton solutions and their periods over finite fields are obtained. Relation to the singularity confinement method is also discussed.
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| first_indexed | 2025-11-25T04:41:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148406 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T04:41:13Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kanki, M. Mada, J. Tokihiro, T. 2019-02-18T11:43:03Z 2019-02-18T11:43:03Z 2012 Discrete Integrable Equations over Finite Fields / M. Kanki, J. Mada, T. Tokihiro // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 17 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q53; 37K40; 37P25 DOI: http://dx.doi.org/10.3842/SIGMA.2012.054 https://nasplib.isofts.kiev.ua/handle/123456789/148406 Discrete integrable equations over finite fields are investigated. The indeterminacy of the equation is resolved by treating it over a field of rational functions instead of the finite field itself. The main discussion concerns a generalized discrete KdV equation related to a Yang-Baxter map. Explicit forms of soliton solutions and their periods over finite fields are obtained. Relation to the singularity confinement method is also discussed. The authors wish to thank Professors K.M. Tamizhmani, R. Willox and Dr. S. Iwao for useful
 comments. This work is partially supported by Grant-in-Aid for JSPS Fellows (24-1379). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Discrete Integrable Equations over Finite Fields Article published earlier |
| spellingShingle | Discrete Integrable Equations over Finite Fields Kanki, M. Mada, J. Tokihiro, T. |
| title | Discrete Integrable Equations over Finite Fields |
| title_full | Discrete Integrable Equations over Finite Fields |
| title_fullStr | Discrete Integrable Equations over Finite Fields |
| title_full_unstemmed | Discrete Integrable Equations over Finite Fields |
| title_short | Discrete Integrable Equations over Finite Fields |
| title_sort | discrete integrable equations over finite fields |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148406 |
| work_keys_str_mv | AT kankim discreteintegrableequationsoverfinitefields AT madaj discreteintegrableequationsoverfinitefields AT tokihirot discreteintegrableequationsoverfinitefields |