An ultradiscretization of the sine-Gordon equation

被引：14

作者：

Isojima, S ^{[1
]}

Murata, M ^{[1
]}

Nobe, A ^{[1
]}

Satsuma, J ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

PHYSICS LETTERS A | 2004年 / 331卷 / 06期

基金：

日本学术振兴会;

关键词：

integrable systems; soliton; discrete; cellular automaton; sine-Gordon equation;

D O I：

10.1016/j.physleta.2004.09.023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：378 / 386

页数：9

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