Discrete Integrable Equations over Finite Fields
| dc.contributor.author | Kanki, M. | |
| dc.contributor.author | Mada, J. | |
| dc.contributor.author | Tokihiro, T. | |
| dc.date.accessioned | 2019-02-18T11:43:03Z | |
| dc.date.available | 2019-02-18T11:43:03Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | 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. | uk_UA |
| dc.description.sponsorship | 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). | uk_UA |
| dc.identifier.citation | 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. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 35Q53; 37K40; 37P25 | |
| dc.identifier.other | DOI: http://dx.doi.org/10.3842/SIGMA.2012.054 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/148406 | |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | uk_UA |
| dc.title | Discrete Integrable Equations over Finite Fields | uk_UA |
| dc.type | Article | uk_UA |
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