Electromagnetic wave propagation through cold collision free plasma is stud
ied using the nonlinear reductive perturbation method. We have studied the
propagation of electromagnetic wave through plasma in (1+1) dimensions and
in (2+1) dimensions. It is found that to the lowest order of perturbation t
he system of equations can be reduced to modified Korteweg-deVries equation
in (l-tl) dimensions and to modified Kadomtsev-Petviashvili equation in (2
+1) dimensions.