Exact solutions of differential equations with delay for dissipative systems

✍ Scribed by K Hasebe; A Nakayama; Y Sugiyama

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 77 KB
• Volume: 259
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00419-3

✦ Synopsis

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.