With the development of information technology, the communication between vehicle and vehicle(V2V), vehicle and infrastructure(V2I) promotes traffic efficiency and safety. In this work, we study the mixed traffic with connected and non-connected vehicles, and present the mixed traffic lattice hydrodynamic model. By using linear stability analysis, the stability conditions of the traffic system are obtained. The phase-plot shows that the communication range and permeability of connected vehicles have an important influence on the traffic system. Then we get the modified Korteweg-de Vries equation via nonlinear analysis. Furthermore, the numerical simulation results verify the theoretical results, and shows that increasing the communication range and permeability of connected vehicle will make the traffic system more stable.

随着信息技术的发展，车辆与车辆（V2V），车辆与基础设施（V2I）之间的通信提高了交通效率和安全性。在这项工作中，我们研究了有连接和无连接车辆的混合交通，并提出了混合交通格流体力学模型。通过线性稳定性分析，获得了交通系统的稳定性条件。相图表明，互联车辆的通讯距离和通透性对交通系统具有重要影响。然后通过非线性分析得到修正的Korteweg-de Vries方程。数值仿真结果验证了理论结果，表明增加联网车辆的通讯距离和通行能力将使交通系统更加稳定。