Discrete Integrable Equations over Finite Fields

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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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.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	http://dspace.nbuv.gov.ua/handle/123456789/148406
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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Discrete Integrable Equations over Finite Fields	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA