Saad Naji

Solution of Burger Equation: and Studying Statistical Properties for It's Solution Saad Naji

The main purpose of this book is to find the exact solution of homogeneous and non-homogeneous Burger equation with the boundary conditions of the types: Dirichlet, Neumann and Robin. Statistical properties of the solution such as expected value, variance, covariance and correlation coefficient are given. The solution was obtained by four steps in the first step we reduced Burger equation to non linear ordinary differential equation, in the second step is reducing the non linear ordinary equation to system of first order, in the third step we solve the system of equations to get Riccatti equation and finally reducing the Riccatti equation to Bernoulli equation. We successed to get the beginning of the wave as an earth quake or volcano. We think that our procedure is easy and simple compared with other works.