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math.DS2016
Travelling wave solutions of the perturbed mKdV equation that represent traffic congestion
Laura Hattam
A well-known optimal velocity (OV) model describes vehicle motion along a single lane road, which reduces to a perturbed modified Korteweg-de Vries (mKdV) equation within the unsta…
math.DS2016★ 7 cited
KdV cnoidal waves in a traffic flow model with periodic boundaries
Laura Hattam
An optimal-velocity (OV) model describes car motion on a single lane road. In particular, near to the boundary signifying the onset of traffic jams, this model reduces to a perturb…