Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-26T16:53:58.953Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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