### 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 |
---|---|

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 |

Publication status | Published - 1997 Feb 3 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*225*(4-6), 287-295.

**Toda-type cellular automaton and its N-soliton solution.** / Matsukidaira, J.; Satsuma, J.; Takahashi, Daisuke; Tokihiro, T.; Torii, M.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 225, no. 4-6, pp. 287-295.

}

TY - JOUR

T1 - Toda-type cellular automaton and its N-soliton solution

AU - Matsukidaira, J.

AU - Satsuma, J.

AU - Takahashi, Daisuke

AU - Tokihiro, T.

AU - Torii, M.

PY - 1997/2/3

Y1 - 1997/2/3

N2 - 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.

AB - 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.

KW - Cellular automaton

KW - Discrete

KW - Nonlinear

KW - Soliton

KW - Toda lattice

UR - http://www.scopus.com/inward/record.url?scp=0001556252&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001556252&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001556252

VL - 225

SP - 287

EP - 295

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4-6

ER -