Partial differential equations play an important role in Mathematics, Physics and the solution of these equations is very important because it explains the phenomena represented by these partial differential equations.The main purpose of this book is to find the solution of fractional Burger equation and study statistical properties of the solution. We use these statistical concepts to ensure that the solution agrees with the nature of ocean wave. We hope to get the beginning of the wave as a volcano or earth quake. In fourth step we gave conclusion and future work.