Exact solutions of differential equations with delay for dissipative systems

被引：0

作者：

Hasebe, K ^{[1
]}

Nakayama, A

Sugiyama, Y

机构：

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

[2] Gifu Keizai Univ, Gifu 5038550, Japan

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

来源：

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT | 2000年 / 138期

关键词：

D O I：

暂无

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.

引用

页码：602 / 603

页数：2

共 6 条

[1] NONLINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS AND FOURIER-ANALYSIS [J].

ABLOWITZ, MJ ;

LADIK, JF .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (06) :1011-1018

[2]

Bando M., 1994, Japan Journal of Industrial and Applied Mathematics, V11, P203

[3]

HASEBE K, 1997, P 4 S SIM TRAFF FLOW

[4]

Hirota R., 1976, Progress of Theoretical Physics Supplement, P64, DOI 10.1143/PTPS.59.64

[5]

IGARASHI Y, PATSOL9810007

[6]

Wadati M., 1976, Progress of Theoretical Physics Supplement, P36, DOI 10.1143/PTPS.59.36

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