The Fokker Planck equation appears in the study of diffusion phenomena, stochastics processes and quantum and classical me-chanics. A particular case from this equation, u t - u xx - xu x - u = 0, is examined by the Lie group method approach. From the invari-ant condition it was possible to obtain the infinitesimal generators or vectors associated to this equation, identifying the corresponding symmetry groups. Exact solution were found for each one of this generators and new solution were constructed by using symmetry properties.