Considerable interest is currently being devoted to nonlinear propagation in dielectric slab waveguides for integrated optics and millimetric applications. Much of the current work is based on Kerr-like (∈ ∼E2) nonlinear media and numerically discussed. We present a exact solution of TE-waves for arbitrary nonlinear dielectric (∈ ∼ |E|δ). We applicate this solution to the planar nonlinear optic waveguides and the dispersion relations are given. The results show that the propagation constants are a function of the field magnitude.