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Discrete Integrable Equations over Finite Fields

Vernadsky National Library of Ukraine

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Title Discrete Integrable Equations over Finite Fields
 
Creator Kanki, M.
Mada, J.
Tokihiro, T.
 
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.
 
Date 2019-02-18T11:43:03Z
2019-02-18T11:43:03Z
2012
 
Type Article
 
Identifier 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
http://dspace.nbuv.gov.ua/handle/123456789/148406
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України