A class of combustion problem with shock layers is considered.A modified perturbation method is presented.Using this simple and valid technique,we construct the boundary and the shock layers solution to the problem,and the asymptotic behavior of the solution is discussed.The modifying perturbation method is shown to be a valid method. A class of combustion problem with shock layers is considered. A modified perturbation method is presented. Using this simple and valid technique, we construct the boundary and the shock layers solution to the problem, and the asymptotic behavior of the solution is discussed. Nothing perturbation method is shown to be a valid method.