الفهرس 
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Abstract
The general content of the thesis are presented in four chapters that are devoted to present: Chapter one: This chapter is an introductory chapter. It contains some basic definitions, inequalities and some previously known results without proof for approximation of SPDEs via amplitude equations. Chapter two: In this chapter we rigorously derive amplitude equations for SPDEs with quadratic and cubic nonlinearities. We also show that the solution of the original SPDE is well approximated by the solution of the amplitude equation with cubic term. Chapter three: We consider the stochastic Generalized Swift–Hohenberg (GSSH) equation with respect to Neumann boundary conditions on the interval [0,π]. Our aim of this chapter is to approximate the solutions of (GSSH) via the amplitude equation with quintic term. The results in this chapter are contained in a paper with a title ”The Approximate Solutions of the stochastic Generalized Swift-Hohenberg Equation with Neumann Boundary” International Journal of Partial Differential Equations and Applications, 2015, Vol. 3, No. 1, 12-19 Finally, in chapter four In this chapter we present a class of stochastic system of reaction-diffusion equations. Our aim of this chapter is to approximate the solutions of our system via a system of reaction equation.