From Soliton Equations to Integrable Cellular Automata through a Limiting Procedure

T. Tokihiro; D. Takahashi; J. Matsukidaira; J. Satsuma

doi:10.1103/PhysRevLett.76.3247

From Soliton Equations to Integrable Cellular Automata through a Limiting Procedure

T. Tokihiro, D. Takahashi, J. Matsukidaira, and J. Satsuma

Phys. Rev. Lett. 76, 3247 – Published 29 April 1996

Abstract

We show a direct connection between a cellular automaton and integrable nonlinear wave equations. We also present the $N$ -soliton formula for the cellular automaton. Finally, we propose a general method for constructing such integrable cellular automata and their $N$ -soliton solutions.

Received 26 December 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.3247

Authors & Affiliations

T. Tokihiro¹, D. Takahashi², J. Matsukidaira², and J. Satsuma¹

¹Graduate School of Mathematical Sciences, University of Tokyo, Tokyo 153, Japan
²Department of Applied Mathematics and Informatics, Ryukoku University, Seta, Ohtsu 520-21, Japan