English

Integrable 1D Toda cellular automata

Exactly Solvable and Integrable Systems 2015-06-26 v2

Abstract

First, we recall the algebro-geometric method of construction of finite field valued solutions of the discrete KP equation and next we perform a reduction of the dKP equation to the discrete 1D Toda equation. This gives a method of construction of solutions of the discrete 1D Toda equation taking values in a finite field.

Keywords

Cite

@article{arxiv.nlin/0502051,
  title  = {Integrable 1D Toda cellular automata},
  author = {Mariusz Bialecki},
  journal= {arXiv preprint arXiv:nlin/0502051},
  year   = {2015}
}

Comments

9 pages, 2 figures; Corrected typos