Interaction between parallel Gaussian electromagnetic beams in a plasma with weakly relativistic-ponderomotive regime

In this communication, authors have studied the interaction between two Gaussian electromagnetic beams in a plasma for weakly relativistic-ponderomotive regime when the axes of two beams are initially parallel along z-axis in the xz plane: the beams are initially propagating in the z-direction. Second order coupled ordinary differential equations have been obtained for the distance between centers of the beams and the beam widths in the x- and y-directions along z-axis. The so obtained equations are solved numerically for a range of parameters and the results are depicted in the form of graphs.