  We are considered the propagation of the fundamental and second harmonic
solitary waves under the slowly varying envelope pulses approximation in a
quadratic nonlinear medium that characterized by negative refraction index at
the frequency of fundamental wave and by positive refractive index at the
second harmonic frequency. We find the some solutions of the evolution
equations which described the steady state simulton, coupled second harmonic
and fundamental frequency waves propagation in this materials.
