Padé approximants and Adomian decomposition method for solving the Flierl-Petviashivili equation and its variants

In this paper, we present a reliable combination of Adomian decomposition algorithm and Padé approximants to investigate the Flierl-Petviashivili (FP) equation and its variants. The approach introduces an alternative framework designed to overcome the difficulty of the singular point at x = 0. We also investigate two generalized variants of the FP equation. The proposed framework reveals quite a number of remarkable features of the combination of the two algorithms.