  Within the framework of the generalized time-dependent Ginzburg-Landau
equations, we studied the influence of the magnetic self-field induced by the
currents inside a superconducting sample driven by an applied transport
current. The numerical simulations of the resistive state of the system show
that neither material inhomogeneity nor a normal contact smaller than the
sample width are required to produce an inhomogeneous current distribution
inside the sample, which leads to the emergence of a kinematic
vortex-antivortex pair (vortex street) solution. Further, we discuss the
behaviors of the kinematic vortex velocity, the annihilation rates of the
supercurrent, and the superconducting order parameters alongside the vortex
street solution. We prove that these two latter points explain the
characteristics of the resistive state of the system. They are the fundamental
basis to describe the peak of the current-resistance characteristic curve and
the location where the vortex-antivortex pair is formed.
