中文摘要：

在Lagrange坐标下，运用微分方程定性理论中的相平面分析方法，研究一个近期所提出的守恒高阶交通流模型的行波解．讨论系统的平衡点类型及其稳定性状态，分析相平面中的轨线全局分布结构，验证数值解与解析解的一致性．从而，能够较好地解释现实交通中的时停时走波和瓶颈处的振荡现象，表明所讨论的模型能够描述复杂的拥挤交通．

英文摘要：

Phase-plane analysis was used to study the traveling wave solution of a recently pro- posed higher-order traffic flow model under the Lagrange coordinate system. The analysis iden- tiffed the types and stabilities of the equilibrium solutions, and the overall distribution structure of the nearby solutions was drawn in the phase plane for further analysis and comparison. The analytical and numerical results were in agreement, and might help to explain such simulated phenomena as the stop-and-go wave and oscillation near a bottleneck. The findings demonstra- ted the model＇ s ability to describe the complexity of congested traffic.