Moving weakly relativistic electromagnetic solitons in laser-plasmas
  A case of moving one-dimensional electromagnetic (EM) solitons formed in a relativistic interaction of a linearly polarized laser light with underdense cold plasma is investigated. The relativistic Lorentz force in an intense laser light pushes electrons into longitudinal motion generating coupled longitudal-transverse wave modes. In a weakly relativistic approximation these modes are well described by a dynamical equation of the generalized nonlinear Schrodinger type, with two additional nonlocal terms [1]. An original analytical solution for a moving EM soliton case is here calculated in an implicit form. The soliton motion down-shifts the soliton eigen-frequency while decreases its amplitude. An influence of the soliton velocity on stability properties is analytically predicted. 
Ljupco Hadzievski, Ana Mancic, Milos Skoric