A construction method of exact solutions for Burgers equation

The exact solutions of the Burgers equation is studied on the basis of the decomposition method proposed by Adomian G.Adomian polynomial and the methods of the exact solutions with initial conditions of Burgers equation are given.Shock waves solutions and blow-up solutions with some initial conditions of Burgers equation are obtained by using this method.Some properties of these solutions are discussed in details.The results in this paper show that the method developed can be applied to a broad class of nonlinear equations.