“…Therefore, there have been attempts to develop new techniques for obtaining analytical solutions which reasonably approximate the exact solutions [1]. In recent years, several such techniques have drawn special attention, such as Hirota's bilinear method [2], the homogeneous balance method [3,4], inverse scattering method [5], Adomian's decomposition method ADM [6,7], the variational iteration method [8,9] and the δ-expansion method [10] as well as homotopy analysis method (HAM). Firstly, Liao in 1992 employed the basic idea of homotopy in topology to propose a general analytic method for nonlinear problems [11][12][13][14][15][16].…”