Exact Shock Solution of a Coupled System of Delay Differential Equations : A Car-Following Model(General)

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概要

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• In this letter, we present exact shock solutions of a coupled system of delay differential equations, which was introduced as a traffic-flow model called car-following model. We use the Hirota method, originally developed in order to solve soliton equations. The relevant delay differential equations have been known to allow exact solutions expressed by elliptic functions with periodic boundary conditions. In the present work, however, shock solutions are obtained with open boundaries, representing the stationary propagation of a traffic jam.

• 社団法人日本物理学会の論文
• 2007-08-15

著者

• Kanai Masahiro

  Graduate School Of Mathematical Sciences The University Of Tokyo

• TUTIYA Yohei

  Graduate School of Mathematical Sciences, The University of Tokyo

• Tutiya Yohei

  Graduate School Of Mathematical Sciences The University Of Tokyo:(present Office)o-hara Graduate Sch

関連論文

• Exact Shock Solution of a Coupled System of Delay Differential Equations : A Car-Following Model(General)

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