  The existence and dynamics of solitons in quasi-one-dimensional Bose-Einstein
condensates (BEC) with spin-orbit coupling (SOC) and attractive two-body
interactions are described for two coupled atomic pseudo-spin components with
slowly and rapidly varying time-dependent Raman frequency. By varying the Raman
frequency linearly in time, it was shown that ordinary nonlinear
Schr\"odinger-type bright solitons can be converted to striped bright solitons
and vice versa. The internal Josephson oscillations between atom-number of the
coupled soliton components, and the corresponding center-of-mass motion, are
studied for different parameter configurations. In this case, a mechanism to
control the soliton parameters is proposed by considering parametric
resonances, which can emerge when using time-varying Raman frequencies. Full
numerical simulations confirm variational analysis predictions when applied to
the region where regular solitons are expected. In the limit of high
frequencies, the system is described by a time-averaged Gross-Pitaevskii
formalism with renormalized nonlinear and SOC parameters and modified
phase-dependent nonlinearities. By comparing full-numerical simulations with
averaged results, we have also studied the lower limits for the frequency of
Raman oscillations in order to obtain stable soliton solutions.
