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Jamming transitions and the modified Korteweg–de Vries equation in a two-lane traffic flow

Citations

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Cited by:

  1. Madaan, Nikita & Sharma, Sapna, 2022. "Delayed-feedback control in multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).
  2. Tian, Chuan & Kang, Yi-rong, 2025. "Density-dependent overtaking and its impact on chaotic jam and phase transitions in a two-lane lattice model on curved roads," Chaos, Solitons & Fractals, Elsevier, vol. 199(P3).
  3. Kang, Yi-rong & Tian, Chuan, 2024. "A new curved road lattice model integrating the multiple prediction effect under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
  4. Madaan, Nikita & Sharma, Sapna, 2021. "A lattice model accounting for multi-lane traffic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
  5. Kaur, Daljeet & Sharma, Sapna & Gupta, Arvind Kumar, 2022. "Analyses of lattice hydrodynamic area occupancy model for heterogeneous disorder traffic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
  6. Tian, Chuan & Chen, Yijun & Xiao, Qingxiang & Xiong, Qiongbing, 2025. "Self-stabilizing lattice model with feedback-feedforward coupling and its nonlinear stability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 678(C).
  7. Hosen, Md. Zakir & Hossain, Md. Anowar & Tanimoto, Jun, 2025. "A modified lattice hydrodynamic traffic flow model incorporating preceding vehicle jerk dynamics under V2V communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 680(C).
  8. Shuhong Yang & Bin Huang & Chuan Tian & Yirong Kang, 2025. "Modeling a Multi-Lane Highway System Considering the Combined Impacts of Overtaking Mechanisms and Aggressive Lane-Changing Behaviors," Mathematics, MDPI, vol. 13(8), pages 1-24, April.
  9. Huimin Liu & Rongjun Cheng & Tingliu Xu, 2021. "Analysis of a Novel Two-Dimensional Lattice Hydrodynamic Model Considering Predictive Effect," Mathematics, MDPI, vol. 9(19), pages 1-13, October.
  10. Kaur, Daljeet & Sharma, Sapna, 2020. "A new two-lane lattice model by considering predictive effect in traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
  11. Jin, Can & Peng, Guanghan & Huang, Yixin, 2025. "Phase transitions in operation of heterogeneous vehicles mixed with human-driven and connected autonomous vehicles under speed restriction circumstances," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
  12. Tian, Chuan & Kang, Yirong, 2025. "Modeling and optimal congestion control of multi-lane highway traffic with on-ramp and off-ramp under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 661(C).
  13. Zhang, Yicai & Zhao, Min & Sun, Dihua & Liu, Xiaoyu & Huang, Shuai & Chen, Dong, 2022. "Robust H-infinity control for connected vehicles in lattice hydrodynamic model at highway tunnel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
  14. Cen, Bing-ling & Xue, Yu & Zhang, Yi-cai & Wang, Xue & He, Hong-di, 2020. "A feedback control method with consideration of the next-nearest-neighbor interactions in a lattice hydrodynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 559(C).
  15. Wang, Jufeng & Sun, Fengxin & Ge, Hongxia, 2019. "An improved lattice hydrodynamic model considering the driver’s desire of driving smoothly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 119-129.
  16. Peng, Guanghan & Wang, Wanlin & Tan, Huili, 2024. "Phase transitions in a heterogeneous lattice hydrodynamic model involving both communication distance and memory time duration differences," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
  17. Jin, Can & Qing, Li & Zhu, Meilan & Peng, Guanghan, 2025. "Phase transitions and spectral entropy of heterogeneous vehicles comprised of CAVs and HDVs in flux restriction scenarios," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
  18. Mei, Yiru & Zhao, Xiaoqun & Qian, Yeqing & Xu, Shangzhi & Li, Zhipeng, 2021. "Research on the influence of multiple historical speed information with different weight distribution on traffic flow stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
  19. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2023. "Jamming transition in two-lane lattice model integrating the deception attacks on influx during the lane-changing process under vehicle to everything environment," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
  20. Nikita Madaan & Sapna Sharma, 2022. "Influence of driver’s behavior with empirical lane changing on the traffic dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(1), pages 1-11, January.
  21. Kaur, Ramanpreet & Sharma, Sapna, 2018. "Modeling and simulation of driver’s anticipation effect in a two lane system on curved road with slope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 499(C), pages 110-120.
  22. Peng, Guanghan & Jia, Teti & Kuang, Hua & Tan, Huili, 2022. "Energy consumption in a new lattice hydrodynamic model based on the delayed effect of collaborative information transmission under V2X environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 585(C).
  23. Zhang, Jing & Xu, Keyu & Li, Shubin & Wang, Tao, 2020. "A new two-lane lattice hydrodynamic model with the introduction of driver’s predictive effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
  24. Zhao, Hongzhuan & Tang, Yijie & Wang, Yichen & Yuan, Quan & Wang, Tao & Zhou, Dan & Zhang, Yicai & Yang, Liangyi & Xu, Qi & Nong, LiQiao, 2025. "A lattice model of mixed traffic flow based on critical safety potential field and driver vigilance feedback: Numerical simulation of critical safety potential field fluctuations characterizing the effects of vehicle mass and volume differences," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
  25. Zhang, Yi-cai & Xue, Yu & Shi, Yin & Guo, Yan & Wei, Fang-ping, 2018. "Congested traffic patterns of two-lane lattice hydrodynamic model with partial reduced lane," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 135-147.
  26. Yang, Shuhong & Xia, Dongxue & Tian, Chuan, 2025. "Exploring phase transitions and chaotic jams in a curved road lattice model with flow difference and overtaking effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 675(C).
  27. Kaur, Ramanpreet & Sharma, Sapna, 2018. "Analyses of lattice hydrodynamic model using delayed feedback control with passing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 446-455.
  28. Mehta, Shubham & Redhu, Poonam & Siwach, Vikash, 2026. "Stability analysis in multi-lane traffic flow model with density delay and lane-changing dynamics: A spatiotemporal and Lyapunov analysis," Chaos, Solitons & Fractals, Elsevier, vol. 204(C).
  29. Peng, Guanghan & Luo, Chunli & Zhao, Hongzhuan & Tan, Huili, 2024. "Phase transitions of dual-lane lattice model incorporating cyber-attacks on lane change involving inflow and outflow under connected vehicles environment," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
  30. Kaur, Ramanpreet & Sharma, Sapna, 2017. "Analysis of driver’s characteristics on a curved road in a lattice model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 59-67.
  31. Sun, Fengxin & Chow, Andy H.F. & Lo, S.M. & Ge, Hongxia, 2018. "A two-lane lattice hydrodynamic model with heterogeneous lane changing rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 389-400.
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