Sumudu Homotopy Analysis Method to solved Generalized Hirota-Satsuma Coupled Kdv System

Abstract

In this work, we use the homotopy analysis method (HAM) and combine it with the sumudu transform method (STM). This connection between the two methods is called the Sumudu homotopy analysis method (SHAM), and we use the method to solve generalized Hirota-Satsuma coupled kdv systems. And we compare the approximate solutions of this method with the Sumudu transform method. Comparison tables and graphics showed that SHAM is much closer than STM to the exact solution.