Nonlinear problems play an important role in many fields of engineering issues. In this article, authors aim to study new analytical method using Laplace transform and series to solve two important problems in engineering: the Burgers equation that is used for describing wave processes in acoustics, hydrodynamics and other fields of engineering and Fisher equation that has special duty in gene propagation and some more applications in other fields. We utilize plots and tables to investigate all aspects of this method. This article represents this new method can use for a wide range of nonlinear problems in applied mathematical and engineering science.

nonlinear problems, approximate solution, analytical method, generalized Burgers equation, Fisher equation.