A computational approach to soliton solutions of the Kadomtsev–Petviashvili equation

摘要

In this paper, we present a computational approach to develop soliton solutions of the nonlinear Kadomtsev–Petviashvili equation. Our approach rests mainly on the Adomian decomposition method to include few components of the decomposition series. The proposed framework is presented in a general way so that it can be used in nonlinear evolution equations of the same type. Numerical examples are tested to illustrate the proposed scheme.