New Solutions for Slow Moving Kinks in a Forced Frenkel-Kontorova Chain
  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. 
Phoebus Rosakis and Anna Vainchtein
math.DS cond-mat.mtrl-sci math-ph math.MP nlin.PS