The phase conjugation technology can correct wavefront aberration of optical radiation in laser system. Based on Helmholtz equation, a conventional phase conjugate reflection equation set about the correction model for wavefront aberration of laser radiation is established. By using the Lie group analytic procedure, the multiple groups of allowed infinitesimal Lie symmetries and invariant solution of the partial differential equations are deduced, and more importantly, their detailed analytical expressions and properties are also obtained. The results can provide an effective way for the exact analytical solution of the adaptive laser propagation considering the boundary and initial conditions, reveal the inherent principle of the laser wavefront correction, and also provide a verification for the numerical algorithm of the nonlinear optical wave equations.