%0 Journal Article
%T The density wave in a new anisotropic continuum model<br>
%A Ge Hong-Xia
%A <br>
%J 物理学报
%D 2008
%I 
%X In this paper the new continuum traffic flow model proposed by Jiang {\it et al is developed based on an improved car-following model, in which the speed gradient term replaces the density gradient term in the equation of motion. It overcomes the wrong-way travel which exists in many high-order continuum models. Based on the continuum version of car-following model, the condition for stable traffic flow is derived. Nonlinear analysis shows that the density fluctuation in traffic flow induces a variety of density waves. Near the onset of instability, a small disturbance could lead to solitons determined by the Korteweg--de-Vries (KdV) equation, and the soliton solution is derived.
%K high-order continuum model
%K density waves
%K KdV equation<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=4A47DE79EF4D62898150FCB16F9554E0&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=CA4FD0336C81A37A&sid=EA389574707BDED3&eid=96C778EE049EE47D&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0