Exact solutions of differential equations with delay for dissipative systems

被引：16

作者：

Hasebe, K

Nakayama, A

Sugiyama, Y ^{[1
]}

机构：

[1] City Coll Mie, Div Math Sci, Tsu, Mie 5140112, Japan

[2] Aichi Univ, Fac Business Adm, Aichi 4700296, Japan

[3] Gifu Keizai Univ, Gifu 5038550, Japan

来源：

PHYSICS LETTERS A | 1999年 / 259卷 / 02期

关键词：

dissipative system; exact solution; pattern formation;

D O I：

10.1016/S0375-9601(99)00419-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Exact solutions of the first order differential equation with delay are derived. The equation has been introduced as a model of traffic flow. The solution describes the traveling cluster of jam, which is characterized by Jacobi's elliptic function. The induced differential-difference equations are related to some soliton systems. (C) 1999 Published by Elsevier Science B.V. All rights reserved.

引用

页码：135 / 139

页数：5

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