  Monoaxial chiral magnets can form a peculiar noncollinear spin structure
called the chiral soliton lattice in an applied magnetic field perpendicular to
the helical axis. We study magnetic properties and electrical transport in the
chiral soliton lattice by a Monte Carlo simulation for a one-dimensional Kondo
lattice model including the Dzyaloshinskii-Moriya interaction between classical
localized spins. We show that the model exhibits a helical spin structure at a
zero magnetic field, which turns into the chiral soliton lattice, and finally,
to a forced ferromagnetic state with increasing the external magnetic field. In
the chiral soliton lattice state, we find negative magnetoresistance
proportional to the number of solitons at low temperature, which corroborates
the spin scattering of electrons by chiral solitons. We also discuss the
temperature and magnetic field dependence of the spin structure factor and
electrical resistivity, in comparison with experiments for CrNb$_{3}$S$_{6}$.
