The exact solutions of differential equation with delay

1998/12/01 by K. Hasebe, Katsuya Hasebe, Hasebe, K. +5
Mathematics · Physics and Astronomy · #Nonlinear Waves and Solitons #Numerical methods for differential equations #advanced mathematical theories #nlin.PS #patt-sol

paper · pdf · doi:10.48550/arxiv.patt-sol/9812003

6 pages (Latex file), 2 figures (eps file), other comments

arxiv created 1998/12/22 · arxiv updated 2009/11/30

Abstract

The 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. We also obtain the family of solutions of such type of equations.

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