An Approximate Technique for Solving Fractional Order Hirota-Satsuma Equation

Abstract

In this investigation, the technique of the Laplace decomposition method (LDM) was derived through the incorporation of the Laplace transform and the Adomian polynomial to obtain the approximate solution of the nonlinear partial differential fractional Hirota-Satsuma equation in the Caputo sense. The technique was validated by comparing our results with the literature and further comparison was made with the exact solution for the classical form. The approximate results and graphical depictions show that the scheme is efficient and the implementation is straightforward. Therefore, the scheme can be adopted to solve problems of nonlinear fractional order Hirota-Satsuma equations arising from science and engineering.