Application of singular perturbation method in analyzing traffic density waves

Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has bee...
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Gespeichert in:

Autor*in:	Shen, Fei-ying [verfasserIn] Ge, Hong-xia [verfasserIn] Lei, Li [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2009

Schlagwörter:	traffic flow singular perturbation method car following models Korteweg-de-Vries (KdV) equations modified Korteweg-de-Vries (mKdV) equations

Übergeordnetes Werk:	Enthalten in: Journal of Shanghai University - Shanghai : Shanghai University Press, 1997, 13(2009), 1 vom: Feb., Seite 6-11
Übergeordnetes Werk:	volume:13 ; year:2009 ; number:1 ; month:02 ; pages:6-11

Links:	Volltext

DOI / URN:	10.1007/s11741-009-0102-3

Katalog-ID:	SPR022148590

Internformat


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245	1	0	\|a Application of singular perturbation method in analyzing traffic density waves
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520			\|a Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently.
650		4	\|a traffic flow \|7 (dpeaa)DE-He213
650		4	\|a singular perturbation method \|7 (dpeaa)DE-He213
650		4	\|a car following models \|7 (dpeaa)DE-He213
650		4	\|a Korteweg-de-Vries (KdV) equations \|7 (dpeaa)DE-He213
650		4	\|a modified Korteweg-de-Vries (mKdV) equations \|7 (dpeaa)DE-He213
700	1		\|a Ge, Hong-xia \|e verfasserin \|4 aut
700	1		\|a Lei, Li \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Journal of Shanghai University \|d Shanghai : Shanghai University Press, 1997 \|g 13(2009), 1 vom: Feb., Seite 6-11 \|w (DE-627)538223030 \|w (DE-600)2379454-9 \|x 1863-236X \|7 nnns
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856	4	0	\|u https://dx.doi.org/10.1007/s11741-009-0102-3 \|z lizenzpflichtig \|3 Volltext
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912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_121
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_374
912			\|a GBV_ILN_602
912			\|a GBV_ILN_647
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2018
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2036
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_2700
912			\|a GBV_ILN_2817
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4277
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4346
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4392
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4753
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952			\|d 13 \|j 2009 \|e 1 \|c 02 \|h 6-11

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matchkey_str	article:1863236X:2009----::plctoosnuaprubtomtoiaayig
hierarchy_sort_str	2009
publishDate	2009
allfields	10.1007/s11741-009-0102-3 doi (DE-627)SPR022148590 (SPR)s11741-009-0102-3-e DE-627 ger DE-627 rakwb eng 600 ASE Shen, Fei-ying verfasserin aut Application of singular perturbation method in analyzing traffic density waves 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently. traffic flow (dpeaa)DE-He213 singular perturbation method (dpeaa)DE-He213 car following models (dpeaa)DE-He213 Korteweg-de-Vries (KdV) equations (dpeaa)DE-He213 modified Korteweg-de-Vries (mKdV) equations (dpeaa)DE-He213 Ge, Hong-xia verfasserin aut Lei, Li verfasserin aut Enthalten in Journal of Shanghai University Shanghai : Shanghai University Press, 1997 13(2009), 1 vom: Feb., Seite 6-11 (DE-627)538223030 (DE-600)2379454-9 1863-236X nnns volume:13 year:2009 number:1 month:02 pages:6-11 https://dx.doi.org/10.1007/s11741-009-0102-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 GBV_ILN_2037 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2119 GBV_ILN_2129 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2700 GBV_ILN_2817 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4753 AR 13 2009 1 02 6-11
spelling	10.1007/s11741-009-0102-3 doi (DE-627)SPR022148590 (SPR)s11741-009-0102-3-e DE-627 ger DE-627 rakwb eng 600 ASE Shen, Fei-ying verfasserin aut Application of singular perturbation method in analyzing traffic density waves 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently. traffic flow (dpeaa)DE-He213 singular perturbation method (dpeaa)DE-He213 car following models (dpeaa)DE-He213 Korteweg-de-Vries (KdV) equations (dpeaa)DE-He213 modified Korteweg-de-Vries (mKdV) equations (dpeaa)DE-He213 Ge, Hong-xia verfasserin aut Lei, Li verfasserin aut Enthalten in Journal of Shanghai University Shanghai : Shanghai University Press, 1997 13(2009), 1 vom: Feb., Seite 6-11 (DE-627)538223030 (DE-600)2379454-9 1863-236X nnns volume:13 year:2009 number:1 month:02 pages:6-11 https://dx.doi.org/10.1007/s11741-009-0102-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 GBV_ILN_2037 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2119 GBV_ILN_2129 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2700 GBV_ILN_2817 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4753 AR 13 2009 1 02 6-11
allfields_unstemmed	10.1007/s11741-009-0102-3 doi (DE-627)SPR022148590 (SPR)s11741-009-0102-3-e DE-627 ger DE-627 rakwb eng 600 ASE Shen, Fei-ying verfasserin aut Application of singular perturbation method in analyzing traffic density waves 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently. traffic flow (dpeaa)DE-He213 singular perturbation method (dpeaa)DE-He213 car following models (dpeaa)DE-He213 Korteweg-de-Vries (KdV) equations (dpeaa)DE-He213 modified Korteweg-de-Vries (mKdV) equations (dpeaa)DE-He213 Ge, Hong-xia verfasserin aut Lei, Li verfasserin aut Enthalten in Journal of Shanghai University Shanghai : Shanghai University Press, 1997 13(2009), 1 vom: Feb., Seite 6-11 (DE-627)538223030 (DE-600)2379454-9 1863-236X nnns volume:13 year:2009 number:1 month:02 pages:6-11 https://dx.doi.org/10.1007/s11741-009-0102-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 GBV_ILN_2037 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2119 GBV_ILN_2129 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2700 GBV_ILN_2817 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4753 AR 13 2009 1 02 6-11
allfieldsGer	10.1007/s11741-009-0102-3 doi (DE-627)SPR022148590 (SPR)s11741-009-0102-3-e DE-627 ger DE-627 rakwb eng 600 ASE Shen, Fei-ying verfasserin aut Application of singular perturbation method in analyzing traffic density waves 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently. traffic flow (dpeaa)DE-He213 singular perturbation method (dpeaa)DE-He213 car following models (dpeaa)DE-He213 Korteweg-de-Vries (KdV) equations (dpeaa)DE-He213 modified Korteweg-de-Vries (mKdV) equations (dpeaa)DE-He213 Ge, Hong-xia verfasserin aut Lei, Li verfasserin aut Enthalten in Journal of Shanghai University Shanghai : Shanghai University Press, 1997 13(2009), 1 vom: Feb., Seite 6-11 (DE-627)538223030 (DE-600)2379454-9 1863-236X nnns volume:13 year:2009 number:1 month:02 pages:6-11 https://dx.doi.org/10.1007/s11741-009-0102-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 GBV_ILN_2037 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2119 GBV_ILN_2129 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2700 GBV_ILN_2817 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4753 AR 13 2009 1 02 6-11
allfieldsSound	10.1007/s11741-009-0102-3 doi (DE-627)SPR022148590 (SPR)s11741-009-0102-3-e DE-627 ger DE-627 rakwb eng 600 ASE Shen, Fei-ying verfasserin aut Application of singular perturbation method in analyzing traffic density waves 2009 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently. traffic flow (dpeaa)DE-He213 singular perturbation method (dpeaa)DE-He213 car following models (dpeaa)DE-He213 Korteweg-de-Vries (KdV) equations (dpeaa)DE-He213 modified Korteweg-de-Vries (mKdV) equations (dpeaa)DE-He213 Ge, Hong-xia verfasserin aut Lei, Li verfasserin aut Enthalten in Journal of Shanghai University Shanghai : Shanghai University Press, 1997 13(2009), 1 vom: Feb., Seite 6-11 (DE-627)538223030 (DE-600)2379454-9 1863-236X nnns volume:13 year:2009 number:1 month:02 pages:6-11 https://dx.doi.org/10.1007/s11741-009-0102-3 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_121 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_374 GBV_ILN_602 GBV_ILN_647 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2036 GBV_ILN_2037 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2113 GBV_ILN_2119 GBV_ILN_2129 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_2700 GBV_ILN_2817 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4251 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4346 GBV_ILN_4367 GBV_ILN_4392 GBV_ILN_4393 GBV_ILN_4753 AR 13 2009 1 02 6-11
language	English
source	Enthalten in Journal of Shanghai University 13(2009), 1 vom: Feb., Seite 6-11 volume:13 year:2009 number:1 month:02 pages:6-11
sourceStr	Enthalten in Journal of Shanghai University 13(2009), 1 vom: Feb., Seite 6-11 volume:13 year:2009 number:1 month:02 pages:6-11
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	traffic flow singular perturbation method car following models Korteweg-de-Vries (KdV) equations modified Korteweg-de-Vries (mKdV) equations
dewey-raw	600
isfreeaccess_bool	false
container_title	Journal of Shanghai University
authorswithroles_txt_mv	Shen, Fei-ying @@aut@@ Ge, Hong-xia @@aut@@ Lei, Li @@aut@@
publishDateDaySort_date	2009-02-01T00:00:00Z
hierarchy_top_id	538223030
dewey-sort	3600
id	SPR022148590
language_de	englisch
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author	Shen, Fei-ying
spellingShingle	Shen, Fei-ying ddc 600 misc traffic flow misc singular perturbation method misc car following models misc Korteweg-de-Vries (KdV) equations misc modified Korteweg-de-Vries (mKdV) equations Application of singular perturbation method in analyzing traffic density waves
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topic_title	600 ASE Application of singular perturbation method in analyzing traffic density waves traffic flow (dpeaa)DE-He213 singular perturbation method (dpeaa)DE-He213 car following models (dpeaa)DE-He213 Korteweg-de-Vries (KdV) equations (dpeaa)DE-He213 modified Korteweg-de-Vries (mKdV) equations (dpeaa)DE-He213
topic	ddc 600 misc traffic flow misc singular perturbation method misc car following models misc Korteweg-de-Vries (KdV) equations misc modified Korteweg-de-Vries (mKdV) equations
topic_unstemmed	ddc 600 misc traffic flow misc singular perturbation method misc car following models misc Korteweg-de-Vries (KdV) equations misc modified Korteweg-de-Vries (mKdV) equations
topic_browse	ddc 600 misc traffic flow misc singular perturbation method misc car following models misc Korteweg-de-Vries (KdV) equations misc modified Korteweg-de-Vries (mKdV) equations
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title	Application of singular perturbation method in analyzing traffic density waves
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title_full	Application of singular perturbation method in analyzing traffic density waves
author_sort	Shen, Fei-ying
journal	Journal of Shanghai University
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author_browse	Shen, Fei-ying Ge, Hong-xia Lei, Li
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title_sort	application of singular perturbation method in analyzing traffic density waves
title_auth	Application of singular perturbation method in analyzing traffic density waves
abstract	Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently.
abstractGer	Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently.
abstract_unstemmed	Abstract Car following model is one of microscopic models for describing traffic flow. Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. The general soliton solutions are given for the different types of car following models, and the results have been used to the modified models efficiently.
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title_short	Application of singular perturbation method in analyzing traffic density waves
url	https://dx.doi.org/10.1007/s11741-009-0102-3
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author2	Ge, Hong-xia Lei, Li
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doi_str	10.1007/s11741-009-0102-3
up_date	2024-07-04T02:01:08.712Z
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Through linear stability analysis, the neutral stability lines and the critical points are obtained for the different types of car following models and two modified models. The singular perturbation method has been used to derive various nonlinear wave equations, such as the Korteweg-de-Vries (KdV) equation and the modified Korteweg-de-Vries (mKdV) equation, which could describe different density waves occurring in traffic flows under certain conditions. These density waves are mainly employed to depict the formation of traffic jams in the congested traffic flow. 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code="a">Ge, Hong-xia</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lei, Li</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of Shanghai University</subfield><subfield code="d">Shanghai : Shanghai University Press, 1997</subfield><subfield code="g">13(2009), 1 vom: Feb., Seite 6-11</subfield><subfield code="w">(DE-627)538223030</subfield><subfield code="w">(DE-600)2379454-9</subfield><subfield code="x">1863-236X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:13</subfield><subfield code="g">year:2009</subfield><subfield code="g">number:1</subfield><subfield code="g">month:02</subfield><subfield code="g">pages:6-11</subfield></datafield><datafield tag="856" 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Application of singular perturbation method in analyzing traffic density waves

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