Homotopy Analysis Method: A fresh view on Benjamin-Bona-Mahony-Burgers equation

In this paper, an analytic method, namely the homotopy analysis method (HAM) is applied to obtain approximations to the analytic solution of special form of the generalized nonlinear BenjaminBona-Mahony-Burgers equation (BBMB). This approximate solution, which is obtained as a series of exponentials, has a reasonable residual error. The results reveal that the presented method is very eective and convenient.