Periodic multiwave solutions to the Toda-type cellular automaton

Atsushi Nobe

doi:10.1088/0305-4470/38/43/L03

Periodic multiwave solutions to the Toda-type cellular automaton

Atsushi Nobe^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

An ultradiscretization of the Riemann theta function is proposed. The ultradiscretization satisfies an addition formula, which is an ultradiscrete analogue of an addition formula for the Riemann theta function. Using the addition formula, periodic multiwave solutions to the Toda-type cellular automaton are obtained.

Original language	English
Pages (from-to)	L715-L723
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	43
DOIs	https://doi.org/10.1088/0305-4470/38/43/L03
Publication status	Published - 2005 Oct 28
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/38/43/L03

Cite this

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abstract = "An ultradiscretization of the Riemann theta function is proposed. The ultradiscretization satisfies an addition formula, which is an ultradiscrete analogue of an addition formula for the Riemann theta function. Using the addition formula, periodic multiwave solutions to the Toda-type cellular automaton are obtained.",

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AB - An ultradiscretization of the Riemann theta function is proposed. The ultradiscretization satisfies an addition formula, which is an ultradiscrete analogue of an addition formula for the Riemann theta function. Using the addition formula, periodic multiwave solutions to the Toda-type cellular automaton are obtained.

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JO - Journal of Physics A: Mathematical and General

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Periodic multiwave solutions to the Toda-type cellular automaton

Abstract

ASJC Scopus subject areas

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