### Abstract

We show that the cellular automaton proposed by two of the authors (D.T. and J.M.) is obtained from the discrete Toda lattice equation through a special limiting procedure. Also by applying a similar kind of limiting procedure to the N-soliton solution of the discrete Toda lattice equation, we obtain the N-soliton solution for this cellular automaton.

Original language | English |
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Pages (from-to) | 287-295 |

Number of pages | 9 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 225 |

Issue number | 4-6 |

DOIs | |

Publication status | Published - 1997 Feb 3 |

### Keywords

- Cellular automaton
- Discrete
- Nonlinear
- Soliton
- Toda lattice

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Matsukidaira, J., Satsuma, J., Takahashi, D., Tokihiro, T., & Torii, M. (1997). Toda-type cellular automaton and its N-soliton solution.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*225*(4-6), 287-295. https://doi.org/10.1016/S0375-9601(96)00899-7