Travelling waves for Maxwell's equations in nonlinear and symmetric media

We look for travelling wave fields E(x,y,z,t)= U(x,y) cos(kz+ω t)+ U(x,y)sin(kz+ω t), (x,y,z)³,\, t, satisfying Maxwell's equations in a nonlinear and cylindrically symmetric medium. We obtain a sequence of solutions with diverging energy that is different from that obtained by McLeod, Stuart, and Troy. In addition, we consider a more general nonlinearity, controlled by an N-function.