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INTEGRABLE KP AND KdV CELLULAR AUTOMATA OUT OF A HYPERELLIPTIC CURVE

Published online by Cambridge University Press:  14 July 2005

MARIUSZ BIAŁECKI
MARIUSZ BIAŁECKI
Affiliation:
Institute of Geophysics, Polish Academy of Sciences, ul. Ksiȩcia Janusza 64, 01-452 Warszawa, Poland, Institute of Theoretical Physics, University of Bialystok, ul. Lipowa 41, 15-424 Białystok, Poland e-mail: [email protected]
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Abstract

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The goal of this paper is to present a solution of the cellular automaton associated with the discrete KdV equation, using an algebro-geometric solution of the discrete KP equation over a finite field out of a hyperelliptic curve.

Keywords

14H7037K1037B15
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 47 , Issue A , June 2005 , pp. 33 - 44
Copyright
2005 Glasgow Mathematical Journal Trust