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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 137, Number 1, Pages 66–73
DOI: https://doi.org/10.4213/tmf240 (Mi tmf240) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The Discrete KP and KdV Equations over Finite Fields

M. Bialeckia, A. Doliwab

a University of Bialystok
b Varmin'sko-Mazurskii University
Full-text PDF (223 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf240
Abstract: We propose an algebro-geometric method for constructing solutions of the discrete KP equation over a finite field. We also perform the corresponding reduction to the finite-field version of the discrete KdV equation. We write formulas that allow constructing multisoliton solutions of the equations starting from vacuum wave functions on an arbitrary nonsingular curve.
Keywords: integrable systems, cellular automata, finite fields.
English version:
Theoretical and Mathematical Physics, 2003, Volume 137, Issue 1, Pages 1412–1418
DOI: https://doi.org/10.1023/A:1026000605865
Bibliographic databases:
Language: Russian
Citation: M. Bialecki, A. Doliwa, “The Discrete KP and KdV Equations over Finite Fields”, TMF, 137:1 (2003), 66–73; Theoret. and Math. Phys., 137:1 (2003), 1412–1418
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
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\issue 1
\pages 1412--1418
\crossref{https://doi.org/10.1023/A:1026000605865}
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  • https://www.mathnet.ru/eng/tmf240
  • https://doi.org/10.4213/tmf240
  • https://www.mathnet.ru/eng/tmf/v137/i1/p66
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:447
    Full-text PDF :214
    References:74
    First page:1
     
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