  We construct new traveling wave solutions of moving kink type for a modified,
driven, dynamic Frenkel-Kontorova model, representing dislocation motion under
stress. Formal solutions known so far are inadmissible for velocities below a
thresh- old value. The new solutions fill the gap left by this loss of
admissibility. Analytical and numerical evidence is presented for their
existence; however, dynamic simulations suggest that they are probably
unstable.
