An ultradiscretization of the sine-Gordon equation

S. Isojima; M. Murata; A. Nobe; J. Satsuma

doi:10.1016/j.physleta.2004.09.023

An ultradiscretization of the sine-Gordon equation

S. Isojima, M. Murata, A. Nobe, J. Satsuma

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

15 Citations (Scopus)

Abstract

An ultradiscrete system corresponding to the sine-Gordon equation is proposed. A new dependent variable for the discrete sine-Gordon equation is introduced in order to apply the procedure of ultradiscretization. The ultradiscrete system possesses exact solutions which are directly related to soliton solutions of the discrete equation.

Original language	English
Pages (from-to)	378-386
Number of pages	9
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	331
Issue number	6
DOIs	https://doi.org/10.1016/j.physleta.2004.09.023
Publication status	Published - 2004 Nov 1
Externally published	Yes

Keywords

Cellular automaton
Discrete
Integrable systems
Sine-Gordon equation
Soliton

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.physleta.2004.09.023

Cite this

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title = "An ultradiscretization of the sine-Gordon equation",

abstract = "An ultradiscrete system corresponding to the sine-Gordon equation is proposed. A new dependent variable for the discrete sine-Gordon equation is introduced in order to apply the procedure of ultradiscretization. The ultradiscrete system possesses exact solutions which are directly related to soliton solutions of the discrete equation.",

keywords = "Cellular automaton, Discrete, Integrable systems, Sine-Gordon equation, Soliton",

author = "S. Isojima and M. Murata and A. Nobe and J. Satsuma",

note = "Funding Information: This work is partially supported by the Japan Society for the Promotion of Science (JSPS). The authors also thank Professor Ralph Willox for helpful comments.",

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T1 - An ultradiscretization of the sine-Gordon equation

AU - Isojima, S.

AU - Murata, M.

AU - Nobe, A.

AU - Satsuma, J.

N1 - Funding Information: This work is partially supported by the Japan Society for the Promotion of Science (JSPS). The authors also thank Professor Ralph Willox for helpful comments.

PY - 2004/11/1

Y1 - 2004/11/1

N2 - An ultradiscrete system corresponding to the sine-Gordon equation is proposed. A new dependent variable for the discrete sine-Gordon equation is introduced in order to apply the procedure of ultradiscretization. The ultradiscrete system possesses exact solutions which are directly related to soliton solutions of the discrete equation.

AB - An ultradiscrete system corresponding to the sine-Gordon equation is proposed. A new dependent variable for the discrete sine-Gordon equation is introduced in order to apply the procedure of ultradiscretization. The ultradiscrete system possesses exact solutions which are directly related to soliton solutions of the discrete equation.

KW - Cellular automaton

KW - Discrete

KW - Integrable systems

KW - Sine-Gordon equation

KW - Soliton

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

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

IS - 6

ER -

An ultradiscretization of the sine-Gordon equation

Abstract

Keywords

ASJC Scopus subject areas

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