  We study the effects of transverse magnetic fields on the $S=1$
one-dimensional Kondo lattice model with a uniaxial anisotropy using the
density matrix renormalization group. The model can be regarded as a simplified
one for analyzing the Ising ferromagnetic superconductor URhGe. We find various
phases such as ferromagnetic and antiferromagnetic phases, Kondo plateau (KP)
phases, Tomonaga-Luttinger liquids, and fully polarized phases. In the KP
phase, a pseudoplateau emerges in the magnetization due to strongly bound pairs
between the local and the conduction electron spins. This is why we call this
phase the Kondo plateau. At the critical field between the ferromagnetic and KP
phases, we find metamagnetic behavior in the magnetization curve. We discuss
various correlation functions and the Friedel oscillations in detail, and the
experimental data under transverse magnetic fields in URhGe are discussed on
the basis of the present results.
