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

摘要

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.