  The Riemann solution to the Chaplygin pressure Aw-Rascle model with
Coulomb-like friction is constructed explicitly and its vanishing pressure
limit is analyzed precisely. It is shown that the delta shock wave appears in
the Riemann solutions in some certain situations. The generalized
Rankine-Hugoniot conditions of the delta shock wave are established and the
exact position, propagation speed and strength of the delta shock wave are
given explicitly, which enables us to see the influence of the Coulomb-like
friction on the Riemann solution to the Chaplygin pressure Aw-Rascle model
clearly. It is shown that the Coulomb-like friction term makes contact
discontinuities and delta shock waves bend into parabolic shapes and the
Riemann solutions are not self-similar anymore. Finally, the occurrence
mechanism on the phenomenon of concentration and cavitation and the formation
of delta shock wave and vacuum in the process of vanishing pressure limit are
analyzed and identified in detail. Moreover, we show the Riemann solutions to
the nonhomogeneous Chaplygin pressure Aw-Rascle model converge to the Riemann
solutions to the transportation equations with the same source term as the
pressure vanishes. These two results generalize those obtained in [7,38] for
homogeneous equations to nonhomogeneous equations and are also applicable to
the nonsymmetric system of Keyfitz-Kranzer type with the same Chaplygin
pressure and Coulomb-like friction.
