STABILITY AND KINK–ANTIKINK SOLITON SOLUTION FOR TOTAL GENERALIZED OPTIMAL VELOCITY MODEL
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Publication:5505961
DOI10.1142/S0129183108012959zbMath1153.90369MaRDI QIDQ5505961
Publication date: 28 January 2009
Published in: International Journal of Modern Physics C (Search for Journal in Brave)
KdV equations (Korteweg-de Vries equations) (35Q53) Traffic problems in operations research (90B20) Soliton equations (35Q51)
Related Items (5)
A two-Lane lattice hydrodynamic model considering multiple information of preceding cars ⋮ An improved car-following model considering relative velocity fluctuation ⋮ A novel macro model of traffic flow with the consideration of anticipation optimal velocity ⋮ Proportional-differential effects in traffic car-following model system ⋮ A speed feedback control strategy for car-following model
Cites Work
- Lane changing analysis for two-lane traffic flow
- Analysis of stability and density waves of traffic flow model in an ITS environment
- A new dynamics model for traffic flow
- Localized defects in a cellular automaton model for traffic flow with phase separation
- Dynamical transition in a coupled-map lattice model of a recurrent bus
- Continuum models for freeways with two lanes and numerical tests
- Nonlinear Follow-the-Leader Models of Traffic Flow
- Nonlinear analysis of a differential-difference equation with next-nearest-neighbour interaction for traffic flow
- A Boltzmann-Like Approach for Traffic Flow
- On kinematic waves II. A theory of traffic flow on long crowded roads
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