标题：Slope Effect in Traffic Flow with a Speed Difference
作者：Yu, RuiLing; Zhang, Chenghui
作者机构：[Yu, RuiLing; Zhang, Chenghui] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.
会议名称：3rd International Conference on Civil Engineering, Architecture and Building Materials (CEABM 2013)
会议日期：MAY 24-26, 2013
来源：SUSTAINABLE CITIES DEVELOPMENT AND ENVIRONMENT PROTECTION, PTS 1-3
关键词：Slope effect; Kink density waves; Nonlinear analysis
摘要：On a gradient road gravity as an external force acts upon running vehicles which show different characteristics from those on normal road. We investigated traffic flow on a gradient with a consideration of speed difference effect analytically and numerically. Stability and instability conditions were obtained by the use of linear stability theory. Nonlinear analysis method was taken to derive the mKdV equation and its kink-antikink soliton solution was obtained near the critical point in the unstable region. Kink-antikink density waves were reproduced in the simulation with a variable slope. Results show that the slope effect plays an important role in traffic flow.