The matrix method used in many studies of wave theory, for easy calculations, is described and used in the shallow water breaking theory. We deal with shallow water wave breaking and the method of unimodular matrix. Introducing a class of nonlinear water waves, the solution in the stratification regions using matrix method through unimodularity is given. In this paper we present the stratification approximated by n-layers. Our method firstly involves a 2x2 matrix. Taking the production of n 2x2 matrices we choose the layers with linear variation. The main part of our work covers the fact that energy conservation law is satisfied. For this the unimodularity of the matrices is used. The models are tested against experiments concerning periodic wave transformation. The density and the speed of waves vary exponentially with depth. We conclude with experiments and some important conclusions. [ABSTRACT FROM AUTHOR]