Density waves in traffic flow

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 4, 2000, Pages 3564-3570

  Nagatani, Takashi ^a  

^a SHIZUOKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

MOTOR VEHICLE; PHYSICS; PROCEDURES; THEORETICAL MODEL;

MODELS, THEORETICAL; MOTOR VEHICLES; PHYSICS;

DECAY (ORGANIC); NONLINEAR ANALYSIS; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SHOCK WAVES; SOLITONS; TRAFFIC CONTROL;

ANALYTICAL RESULTS; BURGERS EQUATIONS; CAR-FOLLOWING MODELING; DENSITY WAVES; KORTEWEG-DE VRIES; MODIFIED KORTEWEG-DE VRIES EQUATIONS; SPINODAL LINES; UNSTABLE REGIONS;

KORTEWEG-DE VRIES EQUATION;

EID: 0034168929     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.3564     Document Type: Article

References (29)

1. Traffic and Granular Flow, edited by D. E. Wolf, M. Schreckenberg, and A. Bachem (World Scientific, Singapore, 1996).
2. D. Helbing, Verkehrsdynamik (Springer, Berlin, 1997).
3. Traffic and Granular Flow 97, edited by M. Schreckenberg and D. E. Wolf (Springer, Singapore, 1998).
4. K. Nagel and M. Schreckenberg, J. Phys. I 2, 2221 (1992).
5. M. Bando, K. Hasebe, A. Nakayama, A. Shibata, and Y. Sugiyama, Phys. Rev. E 51, 1035 (1995).
6. B. S. Kerner, P. Konhauser, and M. Schilke, Phys. Rev. E 51, 6243 (1995).
7. B. S. Kerner and H. Rehborn, Phys. Rev. E 53, R1297 (1996).
8. T. Komatsu and S. Sasa, Phys. Rev. E 52, 5574 (1995).
9. T. Nagatani and K. Nakanishi, Phys. Rev. E 57, 6415 (1998).
10. T. Nagatani, K. Nakanishi, and H. Emmerich, J. Phys. A 31, 5431 (1998).
11. T. Nagatani, Physica A 261, 599 (1998).
12. T. Nagatani, Phys. Rev. E 58, 4271 (1998).
13. S. Krauss, P. Wagner, and C. Gawron, Phys. Rev. E 55, 5597 (1997).
14. K. Nagel, D. E. Wolf, P. Wagner, and P. Simon, Phys. Rev. E 58, 1425 (1998).
15. D. Helbing and M. Schreckenberg, Phys. Rev. E 59, R2505 (1999).
16. D. Helbing, Phys. Rev. E 53, 2366 (1996).
17. M. Treiber, A. Hennecke, and D. Helbing, Phys. Rev. E 59, 239 (1999).
18. H. Y. Lee, H. W. Lee, and D. Kim, Phys. Rev. E 59, 5101 (1999).
19. D. Helbing, A. Hennecke, and M. Treiber, Phys. Rev. Lett. 82, 4360 (1999).
20. O. Biham, A. A. Middleton, and D. A. Levine, Phys. Rev. A 46, R6124 (1992).
21. T. Nagatani, Phys. Rev. E 48, 3290 (1993).
22. J. A. Cuesta, F. C. Matinez, J. M. Nolera, and A. Sanchez, Phys. Rev. E 48, 4175 (1993).
23. T. Nagatani, Phys. Rev. E 59, 4857 (1999).
24. G. F. Newell, Oper. Res. 9, 209 (1961).
25. G. B. Whitham, Proc. R. Soc. London, Ser. A 428, 49 (1990).
26. K. Nagel, Phys. Rev. E 53, 4655 (1996).
27. M. Muramatsu and T. Nagatani, Phys. Rev. E 60, 180 (1999).
28. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
29. T. Tatsumi and S. Kida, J. Fluid Mech. 55, 659 (1972).